813364040 has 16 divisors (see below), whose sum is σ = 1830069180. Its totient is φ = 325345600.

The previous prime is 813364033. The next prime is 813364043. The reversal of 813364040 is 40463318.

813364040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 813048196 + 315844 = 28514^2 + 562^2 .

It is a super-2 number, since 2×813364040² = 1323122123130243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 813363994 and 813364012.

It is not an unprimeable number, because it can be changed into a prime (813364043) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10167011 + ... + 10167090.

Almost surely, 2^813364040 is an apocalyptic number.

It is an amenable number.

813364040 is an abundant number, since it is smaller than the sum of its proper divisors (1016705140).

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

813364040 is a wasteful number, since it uses less digits than its factorization.

813364040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20334112 (or 20334108 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 813364040 is about 28519.5378644185. The cubic root of 813364040 is about 933.4584452463.

The spelling of 813364040 in words is "eight hundred thirteen million, three hundred sixty-four thousand, forty".