813657936 has 360 divisors, whose sum is σ = 2793839040. Its totient is φ = 202954752.

The previous prime is 813657931. The next prime is 813657947. The reversal of 813657936 is 639756318.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813657931) 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 71 ways as a sum of consecutive naturals, for example, 9142180 + ... + 9142268.

It is an arithmetic number, because the mean of its divisors is an integer number (7760664).

Almost surely, 2^813657936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813657936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396919520).

813657936 is an abundant number, since it is smaller than the sum of its proper divisors (1980181104).

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

813657936 is a wasteful number, since it uses less digits than its factorization.

813657936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 137 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 813657936 is about 28524.6899369651. The cubic root of 813657936 is about 933.5708617674.

The spelling of 813657936 in words is "eight hundred thirteen million, six hundred fifty-seven thousand, nine hundred thirty-six".