813688120 has 48 divisors (see below), whose sum is σ = 2129709240. Its totient is φ = 278978112.

The previous prime is 813688103. The next prime is 813688121. The reversal of 813688120 is 21886318.

It is a self number, because there is not a number n which added to its sum of digits gives 813688120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813688121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 205614 + ... + 209533.

Almost surely, 2^813688120 is an apocalyptic number.

It is an amenable number.

813688120 is an abundant number, since it is smaller than the sum of its proper divisors (1316021120).

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

813688120 is a wasteful number, since it uses less digits than its factorization.

813688120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415172 (or 415161 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 813688120 is about 28525.2190175641. The cubic root of 813688120 is about 933.5824057480.

The spelling of 813688120 in words is "eight hundred thirteen million, six hundred eighty-eight thousand, one hundred twenty".