660972 has 48 divisors (see below), whose sum is σ = 1756160. Its totient is φ = 191808.

The previous prime is 660949. The next prime is 660973. The reversal of 660972 is 279066.

660972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 660972.

It is not an unprimeable number, because it can be changed into a prime (660973) by changing a digit.

660972 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 15 ways as a sum of consecutive naturals, for example, 2853 + ... + 3075.

2⁶⁶⁰⁹⁷² 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 660972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878080).

660972 is an abundant number, since it is smaller than the sum of its proper divisors (1095188).

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

660972 is a wasteful number, since it uses less digits than its factorization.

660972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 260 counting only the distinct ones).

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

The square root of 660972 is about 813.0018450164. The cubic root of 660972 is about 87.1085973772.

The spelling of 660972 in words is "six hundred sixty thousand, nine hundred seventy-two".