972656 has 40 divisors (see below), whose sum is σ = 2035584. Its totient is φ = 449280.

The previous prime is 972649. The next prime is 972661. The reversal of 972656 is 656279.

It is a nialpdrome in base 5 and base 16.

It is a zygodrome in base 5.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18326 + ... + 18378.

972656 is a Friedman number, since it can be written as 62*(9*7+5^6), using all its digits and the basic arithmetic operations.

2⁹⁷²⁶⁵⁶ 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 972656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017792).

972656 is an abundant number, since it is smaller than the sum of its proper divisors (1062928).

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

972656 is a wasteful number, since it uses less digits than its factorization.

972656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

The product of its digits is 22680, while the sum is 35.

The square root of 972656 is about 986.2332381339. The cubic root of 972656 is about 99.0800970673.

The spelling of 972656 in words is "nine hundred seventy-two thousand, six hundred fifty-six".