972064 has 24 divisors (see below), whose sum is σ = 1967868. Its totient is φ = 472320.

The previous prime is 972047. The next prime is 972071. The reversal of 972064 is 460279.

It can be written as a sum of positive squares in 2 ways, for example, as 960400 + 11664 = 980^2 + 108^2 .

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 774 + ... + 1594.

2⁹⁷²⁰⁶⁴ 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 972064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983934).

972064 is an abundant number, since it is smaller than the sum of its proper divisors (995804).

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

972064 is a wasteful number, since it uses less digits than its factorization.

972064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 972064 is about 985.9330606081. The cubic root of 972064 is about 99.0599915276.

The spelling of 972064 in words is "nine hundred seventy-two thousand, sixty-four".