90551520 has 288 divisors, whose sum is σ = 341778528. Its totient is φ = 22560768.

The previous prime is 90551519. The next prime is 90551521. The reversal of 90551520 is 2515509.

90551520 is a `hidden beast` number, since 90 + 5 + 51 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (90551519) and next prime (90551521).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90551521) 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 47 ways as a sum of consecutive naturals, for example, 660892 + ... + 661028.

It is an arithmetic number, because the mean of its divisors is an integer number (1186731).

Almost surely, 2^90551520 is an apocalyptic number.

90551520 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 90551520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170889264).

90551520 is an abundant number, since it is smaller than the sum of its proper divisors (251227008).

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

90551520 is a wasteful number, since it uses less digits than its factorization.

90551520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 90551520 is about 9515.8562410326. The cubic root of 90551520 is about 449.0540127449.

It can be divided in two parts, 905 and 51520, that added together give a palindrome (52425).

The spelling of 90551520 in words is "ninety million, five hundred fifty-one thousand, five hundred twenty".