264027264 has 64 divisors (see below), whose sum is σ = 720315840. Its totient is φ = 85625856.

The previous prime is 264027263. The next prime is 264027271. The reversal of 264027264 is 462720462.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×264027264² = 139420792270651392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (264027263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4917 + ... + 23499.

It is an arithmetic number, because the mean of its divisors is an integer number (11254935).

Almost surely, 2^264027264 is an apocalyptic number.

264027264 is a gapful number since it is divisible by the number (24) 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 264027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360157920).

264027264 is an abundant number, since it is smaller than the sum of its proper divisors (456288576).

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

264027264 is a wasteful number, since it uses less digits than its factorization.

264027264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18637 (or 18625 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 264027264 is about 16248.9157792143. The cubic root of 264027264 is about 641.5289486269.

The spelling of 264027264 in words is "two hundred sixty-four million, twenty-seven thousand, two hundred sixty-four".