813155616 has 576 divisors, whose sum is σ = 3170119680. Its totient is φ = 191600640.

The previous prime is 813155599. The next prime is 813155653. The reversal of 813155616 is 616551318.

813155616 is a `hidden beast` number, since 8 + 1 + 31 + 5 + 5 + 616 = 666.

It is a super-2 number, since 2×813155616² = 1322444111664678912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11452861 + ... + 11452931.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^813155616 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 813155616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585059840).

813155616 is an abundant number, since it is smaller than the sum of its proper divisors (2356964064).

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

813155616 is a wasteful number, since it uses less digits than its factorization.

813155616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 138 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 813155616 is about 28515.8835738961. The cubic root of 813155616 is about 933.3787057308.

The spelling of 813155616 in words is "eight hundred thirteen million, one hundred fifty-five thousand, six hundred sixteen".