813609216 has 216 divisors, whose sum is σ = 2728200384. Its totient is φ = 228372480.

The previous prime is 813609197. The next prime is 813609227. The reversal of 813609216 is 612906318.

813609216 is a `hidden beast` number, since 81 + 360 + 9 + 216 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 983395 + ... + 984221.

Almost surely, 2^813609216 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 813609216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364100192).

813609216 is an abundant number, since it is smaller than the sum of its proper divisors (1914591168).

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

813609216 is a wasteful number, since it uses less digits than its factorization.

813609216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 813609216 is about 28523.8359271680. The cubic root of 813609216 is about 933.5522280237.

The spelling of 813609216 in words is "eight hundred thirteen million, six hundred nine thousand, two hundred sixteen".