972059584 has 56 divisors (see below), whose sum is σ = 2025487440. Its totient is φ = 462206976.

The previous prime is 972059567. The next prime is 972059617. The reversal of 972059584 is 485950279.

972059584 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

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, 120444 + ... + 128260.

Almost surely, 2^972059584 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 972059584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1012743720).

972059584 is an abundant number, since it is smaller than the sum of its proper divisors (1053427856).

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

972059584 is a wasteful number, since it uses less digits than its factorization.

972059584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7925 (or 7915 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 49.

The square root of 972059584 is about 31177.8701004414. The cubic root of 972059584 is about 990.5984152047.

The spelling of 972059584 in words is "nine hundred seventy-two million, fifty-nine thousand, five hundred eighty-four".