264672 has 36 divisors (see below), whose sum is σ = 753480. Its totient is φ = 88128.

The previous prime is 264659. The next prime is 264697. The reversal of 264672 is 276462.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

264672 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 5 ways as a sum of consecutive naturals, for example, 172 + ... + 747.

It is an arithmetic number, because the mean of its divisors is an integer number (20930).

2²⁶⁴⁶⁷² is an apocalyptic number.

It is an amenable number.

264672 is an abundant number, since it is smaller than the sum of its proper divisors (488808).

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

264672 is a wasteful number, since it uses less digits than its factorization.

264672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 924 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 264672 is about 514.4628266454. The cubic root of 264672 is about 64.2050713669.

The spelling of 264672 in words is "two hundred sixty-four thousand, six hundred seventy-two".