264036672 has 210 divisors, whose sum is σ = 824009274. Its totient is φ = 83566080.

The previous prime is 264036659. The next prime is 264036697. The reversal of 264036672 is 276630462.

It is a happy number.

264036672 is a `hidden beast` number, since 2 + 640 + 3 + 6 + 6 + 7 + 2 = 666.

264036672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 244109376 + 19927296 = 15624^2 + 4464^2 .

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 29 ways as a sum of consecutive naturals, for example, 4981798 + ... + 4981850.

Almost surely, 2^264036672 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 264036672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412004637).

264036672 is an abundant number, since it is smaller than the sum of its proper divisors (559972602).

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

264036672 is an equidigital number, since it uses as much as digits as its factorization.

264036672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 264036672 is about 16249.2052728741. The cubic root of 264036672 is about 641.5365683358.

The spelling of 264036672 in words is "two hundred sixty-four million, thirty-six thousand, six hundred seventy-two".