813948968 has 32 divisors (see below), whose sum is σ = 1749216000. Its totient is φ = 347827392.

The previous prime is 813948953. The next prime is 813948973. The reversal of 813948968 is 869849318.

It is a Harshad number since it is a multiple of its sum of digits (56).

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, 1280 + ... + 40367.

It is an arithmetic number, because the mean of its divisors is an integer number (54663000).

Almost surely, 2^813948968 is an apocalyptic number.

It is an amenable number.

813948968 is an abundant number, since it is smaller than the sum of its proper divisors (935267032).

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

813948968 is a wasteful number, since it uses less digits than its factorization.

813948968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42009 (or 42005 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 56.

The square root of 813948968 is about 28529.7908860195. The cubic root of 813948968 is about 933.6821561231.

The spelling of 813948968 in words is "eight hundred thirteen million, nine hundred forty-eight thousand, nine hundred sixty-eight".