264929088 has 112 divisors (see below), whose sum is σ = 774679680. Its totient is φ = 79478784.

The previous prime is 264929087. The next prime is 264929099. The reversal of 264929088 is 880929462.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264929087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73308 + ... + 76836.

Almost surely, 2^264929088 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 264929088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387339840).

264929088 is an abundant number, since it is smaller than the sum of its proper divisors (509750592).

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

264929088 is a wasteful number, since it uses less digits than its factorization.

264929088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 264929088 is about 16276.6424056069. The cubic root of 264929088 is about 642.2585307890.

The spelling of 264929088 in words is "two hundred sixty-four million, nine hundred twenty-nine thousand, eighty-eight".