972678160 has 40 divisors (see below), whose sum is σ = 2309602176. Its totient is φ = 380791680.

The previous prime is 972678143. The next prime is 972678173. The reversal of 972678160 is 61876279.

It is a happy number.

972678160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×972678160² = 1892205605881971200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 972678160.

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, 125586 + ... + 133105.

Almost surely, 2^972678160 is an apocalyptic number.

It is an amenable number.

972678160 is an abundant number, since it is smaller than the sum of its proper divisors (1336924016).

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

972678160 is a wasteful number, since it uses less digits than its factorization.

972678160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258751 (or 258745 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The square root of 972678160 is about 31187.7886359389. The cubic root of 972678160 is about 990.8084950816.

The spelling of 972678160 in words is "nine hundred seventy-two million, six hundred seventy-eight thousand, one hundred sixty".