264945816 has 96 divisors (see below), whose sum is σ = 788009040. Its totient is φ = 83109888.

The previous prime is 264945787. The next prime is 264945829. The reversal of 264945816 is 618549462.

264945816 is a `hidden beast` number, since 2 + 64 + 9 + 4 + 581 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29040 + ... + 37056.

Almost surely, 2^264945816 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 264945816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394004520).

264945816 is an abundant number, since it is smaller than the sum of its proper divisors (523063224).

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

264945816 is a wasteful number, since it uses less digits than its factorization.

264945816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8055 (or 8039 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 264945816 is about 16277.1562626891. The cubic root of 264945816 is about 642.2720482107.

The spelling of 264945816 in words is "two hundred sixty-four million, nine hundred forty-five thousand, eight hundred sixteen".