264720 has 40 divisors (see below), whose sum is σ = 821376. Its totient is φ = 70528.

The previous prime is 264697. The next prime is 264731. The reversal of 264720 is 27462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

264720 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 7 ways as a sum of consecutive naturals, for example, 312 + ... + 791.

2²⁶⁴⁷²⁰ is an apocalyptic number.

264720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264720 is an abundant number, since it is smaller than the sum of its proper divisors (556656).

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

264720 is a wasteful number, since it uses less digits than its factorization.

264720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 264720 is about 514.5094751314. The cubic root of 264720 is about 64.2089524690.

The spelling of 264720 in words is "two hundred sixty-four thousand, seven hundred twenty".