972679680 has 480 divisors, whose sum is σ = 3978209664. Its totient is φ = 214990848.

The previous prime is 972679661. The next prime is 972679727. The reversal of 972679680 is 86976279.

972679680 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 (480).

It is a super-2 number, since 2×972679680² = 1892211519769804800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5967279 + ... + 5967441.

Almost surely, 2^972679680 is an apocalyptic number.

972679680 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 972679680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1989104832).

972679680 is an abundant number, since it is smaller than the sum of its proper divisors (3005529984).

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

972679680 is a wasteful number, since it uses less digits than its factorization.

972679680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 972679680 is about 31187.8130044413. The cubic root of 972679680 is about 990.8090111921.

The spelling of 972679680 in words is "nine hundred seventy-two million, six hundred seventy-nine thousand, six hundred eighty".