972599600 has 120 divisors (see below), whose sum is σ = 2698764768. Its totient is φ = 329932800.

The previous prime is 972599591. The next prime is 972599627. The reversal of 972599600 is 6995279.

972599600 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 (47) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 269810 + ... + 273390.

Almost surely, 2^972599600 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 972599600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349382384).

972599600 is an abundant number, since it is smaller than the sum of its proper divisors (1726165168).

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

972599600 is a wasteful number, since it uses less digits than its factorization.

972599600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 47.

The square root of 972599600 is about 31186.5291432054. The cubic root of 972599600 is about 990.7818195877.

The spelling of 972599600 in words is "nine hundred seventy-two million, five hundred ninety-nine thousand, six hundred".