264210816 has 64 divisors (see below), whose sum is σ = 705060720. Its totient is φ = 87662592.

The previous prime is 264210803. The next prime is 264210841. The reversal of 264210816 is 618012462.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87996 + ... + 90948.

Almost surely, 2^264210816 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 264210816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352530360).

264210816 is an abundant number, since it is smaller than the sum of its proper divisors (440849904).

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

264210816 is a wasteful number, since it uses less digits than its factorization.

264210816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3203 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 264210816 is about 16254.5629286056. The cubic root of 264210816 is about 641.6775780308.

The spelling of 264210816 in words is "two hundred sixty-four million, two hundred ten thousand, eight hundred sixteen".