972796160 has 72 divisors (see below), whose sum is σ = 2663054016. Its totient is φ = 333527040.

The previous prime is 972796159. The next prime is 972796183. The reversal of 972796160 is 61697279.

972796160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45326 + ... + 63245.

Almost surely, 2^972796160 is an apocalyptic number.

It is an amenable number.

972796160 is an abundant number, since it is smaller than the sum of its proper divisors (1690257856).

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

972796160 is a wasteful number, since it uses less digits than its factorization.

972796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108599 (or 108585 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 47.

The square root of 972796160 is about 31189.6803446268. The cubic root of 972796160 is about 990.8485599526.

The spelling of 972796160 in words is "nine hundred seventy-two million, seven hundred ninety-six thousand, one hundred sixty".