972074688 has 224 divisors, whose sum is σ = 3031418880. Its totient is φ = 272056320.

The previous prime is 972074683. The next prime is 972074689. The reversal of 972074688 is 886470279.

972074688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 972074688.

It is not an unprimeable number, because it can be changed into a prime (972074681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1315023 + ... + 1315761.

It is an arithmetic number, because the mean of its divisors is an integer number (13533120).

Almost surely, 2^972074688 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 972074688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515709440).

972074688 is an abundant number, since it is smaller than the sum of its proper divisors (2059344192).

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

972074688 is a wasteful number, since it uses less digits than its factorization.

972074688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 972074688 is about 31178.1123225894. The cubic root of 972074688 is about 990.6035458645.

The spelling of 972074688 in words is "nine hundred seventy-two million, seventy-four thousand, six hundred eighty-eight".