813967648 has 24 divisors (see below), whose sum is σ = 1725768828. Its totient is φ = 375677184.

The previous prime is 813967613. The next prime is 813967681. The reversal of 813967648 is 846769318.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 660901264 + 153066384 = 25708^2 + 12372^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 813967595 and 813967604.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 977911 + ... + 978742.

Almost surely, 2^813967648 is an apocalyptic number.

It is an amenable number.

813967648 is an abundant number, since it is smaller than the sum of its proper divisors (911801180).

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

813967648 is a wasteful number, since it uses less digits than its factorization.

813967648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1956676 (or 1956668 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 52.

The square root of 813967648 is about 28530.1182612340. The cubic root of 813967648 is about 933.6892986877.

The spelling of 813967648 in words is "eight hundred thirteen million, nine hundred sixty-seven thousand, six hundred forty-eight".