264714560 has 112 divisors (see below), whose sum is σ = 693480960. Its totient is φ = 95447040.

The previous prime is 264714559. The next prime is 264714577. The reversal of 264714560 is 65417462.

264714560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 264714560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 552401 + ... + 552879.

Almost surely, 2^264714560 is an apocalyptic number.

264714560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346740480).

264714560 is an abundant number, since it is smaller than the sum of its proper divisors (428766400).

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

264714560 is a wasteful number, since it uses less digits than its factorization.

264714560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 264714560 is about 16270.0510140565. The cubic root of 264714560 is about 642.0851263434.

The spelling of 264714560 in words is "two hundred sixty-four million, seven hundred fourteen thousand, five hundred sixty".