264880512 has 192 divisors, whose sum is σ = 857656800. Its totient is φ = 77856768.

The previous prime is 264880507. The next prime is 264880531. The reversal of 264880512 is 215088462.

264880512 is a `hidden beast` number, since 2 + 64 + 8 + 80 + 512 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 344064 + ... + 344832.

Almost surely, 2^264880512 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 264880512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428828400).

264880512 is an abundant number, since it is smaller than the sum of its proper divisors (592776288).

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

264880512 is a wasteful number, since it uses less digits than its factorization.

264880512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 264880512 is about 16275.1501375563. The cubic root of 264880512 is about 642.2192746776.

The spelling of 264880512 in words is "two hundred sixty-four million, eight hundred eighty thousand, five hundred twelve".