264213936 has 120 divisors (see below), whose sum is σ = 859118624. Its totient is φ = 74234880.

The previous prime is 264213907. The next prime is 264213941. The reversal of 264213936 is 639312462.

264213936 is a `hidden beast` number, since 2 + 642 + 1 + 3 + 9 + 3 + 6 = 666.

It is a super-3 number, since 3×264213936³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 264213936.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59340 + ... + 63636.

Almost surely, 2^264213936 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 264213936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429559312).

264213936 is an abundant number, since it is smaller than the sum of its proper divisors (594904688).

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

264213936 is a wasteful number, since it uses less digits than its factorization.

264213936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4379 (or 4370 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 264213936 is about 16254.6589013735. The cubic root of 264213936 is about 641.6801038246.

The spelling of 264213936 in words is "two hundred sixty-four million, two hundred thirteen thousand, nine hundred thirty-six".