264607632 has 60 divisors (see below), whose sum is σ = 744449004. Its totient is φ = 87736320.

The previous prime is 264607631. The next prime is 264607639. The reversal of 264607632 is 236706462.

It is a happy number.

264607632 is a `hidden beast` number, since 2 + 646 + 0 + 7 + 6 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 89415936 + 175191696 = 9456^2 + 13236^2 .

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

It is not an unprimeable number, because it can be changed into a prime (264607631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23032 + ... + 32552.

Almost surely, 2^264607632 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 264607632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372224502).

264607632 is an abundant number, since it is smaller than the sum of its proper divisors (479841372).

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

264607632 is a wasteful number, since it uses less digits than its factorization.

264607632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9728 (or 9719 counting only the distinct ones).

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

The square root of 264607632 is about 16266.7646445137. The cubic root of 264607632 is about 641.9986607245.

The spelling of 264607632 in words is "two hundred sixty-four million, six hundred seven thousand, six hundred thirty-two".