813478968 has 96 divisors (see below), whose sum is σ = 2341366560. Its totient is φ = 254269440.

The previous prime is 813478937. The next prime is 813478987. The reversal of 813478968 is 869874318.

813478968 is a `hidden beast` number, since 81 + 3 + 478 + 96 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379596 + ... + 381732.

It is an arithmetic number, because the mean of its divisors is an integer number (24389235).

Almost surely, 2^813478968 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 813478968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1170683280).

813478968 is an abundant number, since it is smaller than the sum of its proper divisors (1527887592).

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

813478968 is a wasteful number, since it uses less digits than its factorization.

813478968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2477 (or 2470 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 813478968 is about 28521.5526926568. The cubic root of 813478968 is about 933.5024089389.

The spelling of 813478968 in words is "eight hundred thirteen million, four hundred seventy-eight thousand, nine hundred sixty-eight".