264625920 has 576 divisors, whose sum is σ = 1098854400. Its totient is φ = 59719680.

The previous prime is 264625897. The next prime is 264625981. The reversal of 264625920 is 29526462.

264625920 is a `hidden beast` number, since 2 + 6 + 4 + 62 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8536305 + ... + 8536335.

Almost surely, 2^264625920 is an apocalyptic number.

264625920 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 264625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549427200).

264625920 is an abundant number, since it is smaller than the sum of its proper divisors (834228480).

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

264625920 is a wasteful number, since it uses less digits than its factorization.

264625920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 264625920 is about 16267.3267625630. The cubic root of 264625920 is about 642.0134506746.

The spelling of 264625920 in words is "two hundred sixty-four million, six hundred twenty-five thousand, nine hundred twenty".