264614016 has 64 divisors (see below), whose sum is σ = 725587200. Its totient is φ = 85355520.

The previous prime is 264613991. The next prime is 264614023. The reversal of 264614016 is 610416462.

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

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, 790 + ... + 23018.

It is an arithmetic number, because the mean of its divisors is an integer number (11337300).

Almost surely, 2^264614016 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 264614016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362793600).

264614016 is an abundant number, since it is smaller than the sum of its proper divisors (460973184).

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

264614016 is a wasteful number, since it uses less digits than its factorization.

264614016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22277 (or 22265 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 264614016 is about 16266.9608716564. The cubic root of 264614016 is about 642.0038236979.

The spelling of 264614016 in words is "two hundred sixty-four million, six hundred fourteen thousand, sixteen".