852906240 has 576 divisors, whose sum is σ = 3355430400. Its totient is φ = 204374016.

The previous prime is 852906233. The next prime is 852906253. The reversal of 852906240 is 42609258.

It is a happy number.

852906240 is a `hidden beast` number, since 8 + 5 + 29 + 0 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 852906195 and 852906204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23051502 + ... + 23051538.

It is an arithmetic number, because the mean of its divisors is an integer number (5825400).

Almost surely, 2^852906240 is an apocalyptic number.

852906240 is a gapful number since it is divisible by the number (80) 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 852906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677715200).

852906240 is an abundant number, since it is smaller than the sum of its proper divisors (2502524160).

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

852906240 is a wasteful number, since it uses less digits than its factorization.

852906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 852906240 is about 29204.5585482815. The cubic root of 852906240 is about 948.3466125589.

The spelling of 852906240 in words is "eight hundred fifty-two million, nine hundred six thousand, two hundred forty".