264631140 has 36 divisors (see below), whose sum is σ = 802715004. Its totient is φ = 70568256.

The previous prime is 264631117. The next prime is 264631153. The reversal of 264631140 is 41136462.

264631140 is a `hidden beast` number, since 2 + 646 + 3 + 1 + 14 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 175668516 + 88962624 = 13254^2 + 9432^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 734907 + ... + 735266.

It is an arithmetic number, because the mean of its divisors is an integer number (22297639).

Almost surely, 2^264631140 is an apocalyptic number.

264631140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264631140 is an abundant number, since it is smaller than the sum of its proper divisors (538083864).

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

264631140 is a wasteful number, since it uses less digits than its factorization.

264631140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1470188 (or 1470183 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 264631140 is about 16267.4872060807. The cubic root of 264631140 is about 642.0176720905.

The spelling of 264631140 in words is "two hundred sixty-four million, six hundred thirty-one thousand, one hundred forty".