972627264 has 280 divisors, whose sum is σ = 3368446400. Its totient is φ = 277385472.

The previous prime is 972627247. The next prime is 972627319. The reversal of 972627264 is 462726279.

972627264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×972627264² = 1892007589352251392, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1777839 + ... + 1778385.

Almost surely, 2^972627264 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 972627264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684223200).

972627264 is an abundant number, since it is smaller than the sum of its proper divisors (2395819136).

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

972627264 is an equidigital number, since it uses as much as digits as its factorization.

972627264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 559 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 972627264 is about 31186.9726648804. The cubic root of 972627264 is about 990.7912132198.

The spelling of 972627264 in words is "nine hundred seventy-two million, six hundred twenty-seven thousand, two hundred sixty-four".