264917632 has 128 divisors (see below), whose sum is σ = 634423680. Its totient is φ = 107827200.

The previous prime is 264917617. The next prime is 264917641. The reversal of 264917632 is 236719462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2022207 + ... + 2022337.

It is an arithmetic number, because the mean of its divisors is an integer number (4956435).

Almost surely, 2^264917632 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 264917632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317211840).

264917632 is an abundant number, since it is smaller than the sum of its proper divisors (369506048).

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

264917632 is a wasteful number, since it uses less digits than its factorization.

264917632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 238 counting only the distinct ones).

The product of its digits is 108864, while the sum is 40.

The square root of 264917632 is about 16276.2904864714. The cubic root of 264917632 is about 642.2492731926.

The spelling of 264917632 in words is "two hundred sixty-four million, nine hundred seventeen thousand, six hundred thirty-two".