812515968 has 384 divisors, whose sum is σ = 2767464000. Its totient is φ = 234178560.

The previous prime is 812515937. The next prime is 812515987. The reversal of 812515968 is 869515218.

It is a happy number.

812515968 is a `hidden beast` number, since 8 + 1 + 2 + 51 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12127071 + ... + 12127137.

Almost surely, 2^812515968 is an apocalyptic number.

812515968 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 812515968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383732000).

812515968 is an abundant number, since it is smaller than the sum of its proper divisors (1954948032).

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

812515968 is a wasteful number, since it uses less digits than its factorization.

812515968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 112 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The square root of 812515968 is about 28504.6657233513. The cubic root of 812515968 is about 933.1339020605.

The spelling of 812515968 in words is "eight hundred twelve million, five hundred fifteen thousand, nine hundred sixty-eight".