972864 has 56 divisors (see below), whose sum is σ = 2865120. Its totient is φ = 323712.

The previous prime is 972847. The next prime is 972869. The reversal of 972864 is 468279.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (972869) by changing a digit.

972864 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1447 + ... + 2009.

2⁹⁷²⁸⁶⁴ 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 972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1432560).

972864 is an abundant number, since it is smaller than the sum of its proper divisors (1892256).

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

972864 is a wasteful number, since it uses less digits than its factorization.

972864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 568 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 972864 is about 986.3386842257. The cubic root of 972864 is about 99.0871592391.

The spelling of 972864 in words is "nine hundred seventy-two thousand, eight hundred sixty-four".