883815264 has 72 divisors (see below), whose sum is σ = 2518759152. Its totient is φ = 293971200.

The previous prime is 883815259. The next prime is 883815271. The reversal of 883815264 is 462518388.

883815264 is a `hidden beast` number, since 8 + 8 + 381 + 5 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-6 number, since 6×883815264⁶ (a number of 55 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141814 + ... + 147914.

It is an arithmetic number, because the mean of its divisors is an integer number (34982766).

Almost surely, 2^883815264 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 883815264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259379576).

883815264 is an abundant number, since it is smaller than the sum of its proper divisors (1634943888).

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

883815264 is a wasteful number, since it uses less digits than its factorization.

883815264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6620 (or 6609 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 883815264 is about 29729.0306602822. The cubic root of 883815264 is about 959.6668635760. Note that the first 3 decimals are identical.

The spelling of 883815264 in words is "eight hundred eighty-three million, eight hundred fifteen thousand, two hundred sixty-four".