9252956160 has 576 divisors, whose sum is σ = 38317406400. Its totient is φ = 2111864832.

The previous prime is 9252956159. The next prime is 9252956177. The reversal of 9252956160 is 616592529.

It is a happy number.

9252956160 is a `hidden beast` number, since 9 + 2 + 5 + 29 + 5 + 616 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 13547179 + ... + 13547861.

It is an arithmetic number, because the mean of its divisors is an integer number (66523275).

Almost surely, 2^9252956160 is an apocalyptic number.

9252956160 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 9252956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19158703200).

9252956160 is an abundant number, since it is smaller than the sum of its proper divisors (29064450240).

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

9252956160 is a wasteful number, since it uses less digits than its factorization.

9252956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 9252956160 is about 96192.2874247203. The cubic root of 9252956160 is about 2099.3918238845.

The spelling of 9252956160 in words is "nine billion, two hundred fifty-two million, nine hundred fifty-six thousand, one hundred sixty".