814968864 has 120 divisors (see below), whose sum is σ = 2409020460. Its totient is φ = 270273024.

The previous prime is 814968799. The next prime is 814968871. The reversal of 814968864 is 468869418.

It can be written as a sum of positive squares in 2 ways, for example, as 556016400 + 258952464 = 23580^2 + 16092^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 814968864.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 592882 + ... + 594254.

Almost surely, 2^814968864 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 814968864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204510230).

814968864 is an abundant number, since it is smaller than the sum of its proper divisors (1594051596).

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

814968864 is a wasteful number, since it uses less digits than its factorization.

814968864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1607 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 814968864 is about 28547.6595187767. The cubic root of 814968864 is about 934.0719681288.

The spelling of 814968864 in words is "eight hundred fourteen million, nine hundred sixty-eight thousand, eight hundred sixty-four".