264760320 has 176 divisors, whose sum is σ = 924392448. Its totient is φ = 64143360.

The previous prime is 264760319. The next prime is 264760339. The reversal of 264760320 is 23067462.

264760320 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 is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 168177 + ... + 169743.

Almost surely, 2^264760320 is an apocalyptic number.

264760320 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 264760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462196224).

264760320 is an abundant number, since it is smaller than the sum of its proper divisors (659632128).

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

264760320 is a wasteful number, since it uses less digits than its factorization.

264760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 264760320 is about 16271.4572180859. The cubic root of 264760320 is about 642.1221223219.

The spelling of 264760320 in words is "two hundred sixty-four million, seven hundred sixty thousand, three hundred twenty".