264723840 has 96 divisors (see below), whose sum is σ = 914144400. Its totient is φ = 70591488.

The previous prime is 264723821. The next prime is 264723853. The reversal of 264723840 is 48327462.

264723840 is a `hidden beast` number, since 2 + 647 + 2 + 3 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×264723840² = 140157422928691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 264723795 and 264723804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17220 + ... + 28739.

Almost surely, 2^264723840 is an apocalyptic number.

264723840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

264723840 is an abundant number, since it is smaller than the sum of its proper divisors (649420560).

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

264723840 is a wasteful number, since it uses less digits than its factorization.

264723840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45984 (or 45969 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 264723840 is about 16270.3361981245. The cubic root of 264723840 is about 642.0926293690.

The spelling of 264723840 in words is "two hundred sixty-four million, seven hundred twenty-three thousand, eight hundred forty".