813569616 has 160 divisors (see below), whose sum is σ = 2503768320. Its totient is φ = 252274176.

The previous prime is 813569609. The next prime is 813569633. The reversal of 813569616 is 616965318.

813569616 is a `hidden beast` number, since 81 + 3 + 569 + 6 + 1 + 6 = 666.

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 31 ways as a sum of consecutive naturals, for example, 366526 + ... + 368738.

It is an arithmetic number, because the mean of its divisors is an integer number (15648552).

Almost surely, 2^813569616 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 813569616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251884160).

813569616 is an abundant number, since it is smaller than the sum of its proper divisors (1690198704).

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

813569616 is a wasteful number, since it uses less digits than its factorization.

813569616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2290 (or 2278 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 813569616 is about 28523.1417624356. The cubic root of 813569616 is about 933.5370818219.

The spelling of 813569616 in words is "eight hundred thirteen million, five hundred sixty-nine thousand, six hundred sixteen".