972660 has 96 divisors (see below), whose sum is σ = 3104640. Its totient is φ = 225792.

The previous prime is 972649. The next prime is 972661. The reversal of 972660 is 66279.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972661) by changing a digit.

972660 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22599 + ... + 22641.

It is an arithmetic number, because the mean of its divisors is an integer number (32340).

2⁹⁷²⁶⁶⁰ 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 972660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552320).

972660 is an abundant number, since it is smaller than the sum of its proper divisors (2131980).

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

972660 is a wasteful number, since it uses less digits than its factorization.

972660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 972660 is about 986.2352660496. The cubic root of 972660 is about 99.0802328878.

The spelling of 972660 in words is "nine hundred seventy-two thousand, six hundred sixty".