972916704 has 96 divisors (see below), whose sum is σ = 2872074240. Its totient is φ = 320374656.

The previous prime is 972916699. The next prime is 972916729. The reversal of 972916704 is 407619279.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 972916704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64929 + ... + 78495.

It is an arithmetic number, because the mean of its divisors is an integer number (29917440).

Almost surely, 2^972916704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 972916704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1436037120).

972916704 is an abundant number, since it is smaller than the sum of its proper divisors (1899157536).

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

972916704 is a wasteful number, since it uses less digits than its factorization.

972916704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13669 (or 13655 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 972916704 is about 31191.6127188063. The cubic root of 972916704 is about 990.8894852497.

The spelling of 972916704 in words is "nine hundred seventy-two million, nine hundred sixteen thousand, seven hundred four".