264632634 has 72 divisors (see below), whose sum is σ = 671737248. Its totient is φ = 75070800.

The previous prime is 264632611. The next prime is 264632639. The reversal of 264632634 is 436236462.

264632634 is a `hidden beast` number, since 2 + 646 + 3 + 2 + 6 + 3 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (264632639) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 132189 + ... + 134175.

It is an arithmetic number, because the mean of its divisors is an integer number (9329684).

Almost surely, 2^264632634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264632634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335868624).

264632634 is an abundant number, since it is smaller than the sum of its proper divisors (407104614).

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

264632634 is a wasteful number, since it uses less digits than its factorization.

264632634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2150 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

The square root of 264632634 is about 16267.5331258307. The cubic root of 264632634 is about 642.0188802786.

The spelling of 264632634 in words is "two hundred sixty-four million, six hundred thirty-two thousand, six hundred thirty-four".