9552090240 has 640 divisors, whose sum is σ = 42547317120. Its totient is φ = 1984020480.

The previous prime is 9552090239. The next prime is 9552090241. The reversal of 9552090240 is 420902559.

It is a happy number.

9552090240 is a `hidden beast` number, since 9 + 5 + 520 + 90 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (9552090239) and next prime (9552090241).

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 9552090195 and 9552090204.

It is not an unprimeable number, because it can be changed into a prime (9552090241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3990484 + ... + 3992876.

It is an arithmetic number, because the mean of its divisors is an integer number (66480183).

Almost surely, 2^9552090240 is an apocalyptic number.

9552090240 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9552090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21273658560).

9552090240 is an abundant number, since it is smaller than the sum of its proper divisors (32995226880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9552090240 is a wasteful number, since it uses less digits than its factorization.

9552090240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2442 (or 2421 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 9552090240 is about 97734.7954415417. The cubic root of 9552090240 is about 2121.7757046186.

Adding to 9552090240 its reverse (420902559), we get a palindrome (9972992799).

The spelling of 9552090240 in words is "nine billion, five hundred fifty-two million, ninety thousand, two hundred forty".