264962080 has 24 divisors (see below), whose sum is σ = 625973292. Its totient is φ = 105984768.

The previous prime is 264962057. The next prime is 264962083. The reversal of 264962080 is 80269462.

It can be written as a sum of positive squares in 2 ways, for example, as 240002064 + 24960016 = 15492^2 + 4996^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (264962083) 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, 827847 + ... + 828166.

Almost surely, 2^264962080 is an apocalyptic number.

264962080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264962080 is an abundant number, since it is smaller than the sum of its proper divisors (361011212).

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

264962080 is a wasteful number, since it uses less digits than its factorization.

264962080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1656028 (or 1656020 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 264962080 is about 16277.6558508896. The cubic root of 264962080 is about 642.2851901417.

The spelling of 264962080 in words is "two hundred sixty-four million, nine hundred sixty-two thousand, eighty".