972600 has 48 divisors (see below), whose sum is σ = 3016920. Its totient is φ = 259200.

The previous prime is 972599. The next prime is 972611. The reversal of 972600 is 6279.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972600.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 211 + ... + 1410.

2⁹⁷²⁶⁰⁰ 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 972600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508460).

972600 is an abundant number, since it is smaller than the sum of its proper divisors (2044320).

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

972600 is a wasteful number, since it uses less digits than its factorization.

972600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 972600 is about 986.2048468751. The cubic root of 972600 is about 99.0781955414.

Adding to 972600 its reverse (6279), we get a palindrome (978879).

The spelling of 972600 in words is "nine hundred seventy-two thousand, six hundred".