264287232 has 264 divisors, whose sum is σ = 871203200. Its totient is φ = 79073280.

The previous prime is 264287171. The next prime is 264287239. The reversal of 264287232 is 232782462.

It is a happy number.

264287232 is a `hidden beast` number, since 2 + 642 + 8 + 7 + 2 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264287239) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3345369 + ... + 3345447.

Almost surely, 2^264287232 is an apocalyptic number.

264287232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264287232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435601600).

264287232 is an abundant number, since it is smaller than the sum of its proper divisors (606915968).

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

264287232 is a wasteful number, since it uses less digits than its factorization.

264287232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 95 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 264287232 is about 16256.9133601677. The cubic root of 264287232 is about 641.7394348313.

It can be divided in two parts, 264 and 287232, that added together give a cube (287496 = 66³).

The spelling of 264287232 in words is "two hundred sixty-four million, two hundred eighty-seven thousand, two hundred thirty-two".