813918688 has 48 divisors (see below), whose sum is σ = 1777749120. Its totient is φ = 363683200.

The previous prime is 813918661. The next prime is 813918709. The reversal of 813918688 is 886819318.

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, 1173 + ... + 40363.

It is an arithmetic number, because the mean of its divisors is an integer number (37036440).

Almost surely, 2^813918688 is an apocalyptic number.

813918688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813918688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888874560).

813918688 is an abundant number, since it is smaller than the sum of its proper divisors (963830432).

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

813918688 is a wasteful number, since it uses less digits than its factorization.

813918688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39271 (or 39263 counting only the distinct ones).

The product of its digits is 663552, while the sum is 52.

The square root of 813918688 is about 28529.2602077236. The cubic root of 813918688 is about 933.6705779008.

The spelling of 813918688 in words is "eight hundred thirteen million, nine hundred eighteen thousand, six hundred eighty-eight".