264153564 has 72 divisors (see below), whose sum is σ = 680621760. Its totient is φ = 86366592.

The previous prime is 264153553. The next prime is 264153577. The reversal of 264153564 is 465351462.

264153564 is a `hidden beast` number, since 2 + 6 + 41 + 53 + 564 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 833134 + ... + 833450.

It is an arithmetic number, because the mean of its divisors is an integer number (9453080).

Almost surely, 2^264153564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264153564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340310880).

264153564 is an abundant number, since it is smaller than the sum of its proper divisors (416468196).

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

264153564 is a wasteful number, since it uses less digits than its factorization.

264153564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 694 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 264153564 is about 16252.8017277022. The cubic root of 264153564 is about 641.6312261830.

The spelling of 264153564 in words is "two hundred sixty-four million, one hundred fifty-three thousand, five hundred sixty-four".