972888576 has 160 divisors (see below), whose sum is σ = 2870816256. Its totient is φ = 290304000.

The previous prime is 972888571. The next prime is 972888659. The reversal of 972888576 is 675888279.

It is a super-2 number, since 2×972888576² = 1893024362622615552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (972888571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1199211 + ... + 1200021.

Almost surely, 2^972888576 is an apocalyptic number.

972888576 is a gapful number since it is divisible by the number (96) 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 972888576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435408128).

972888576 is an abundant number, since it is smaller than the sum of its proper divisors (1897927680).

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

972888576 is a wasteful number, since it uses less digits than its factorization.

972888576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 898 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 60.

The square root of 972888576 is about 31191.1618251068. The cubic root of 972888576 is about 990.8799359540.

The spelling of 972888576 in words is "nine hundred seventy-two million, eight hundred eighty-eight thousand, five hundred seventy-six".