264688720 has 20 divisors (see below), whose sum is σ = 615401460. Its totient is φ = 105875456.

The previous prime is 264688717. The next prime is 264688727. The reversal of 264688720 is 27886462.

264688720 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 121264144 + 143424576 = 11012^2 + 11976^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264688727) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1654225 + ... + 1654384.

It is an arithmetic number, because the mean of its divisors is an integer number (30770073).

Almost surely, 2^264688720 is an apocalyptic number.

264688720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264688720 is an abundant number, since it is smaller than the sum of its proper divisors (350712740).

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

264688720 is a wasteful number, since it uses less digits than its factorization.

264688720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3308622 (or 3308616 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The square root of 264688720 is about 16269.2568975968. The cubic root of 264688720 is about 642.0642333741.

The spelling of 264688720 in words is "two hundred sixty-four million, six hundred eighty-eight thousand, seven hundred twenty".