813568 has 40 divisors (see below), whose sum is σ = 1865952. Its totient is φ = 347136.

The previous prime is 813559. The next prime is 813577. The reversal of 813568 is 865318.

It is an interprime number because it is at equal distance from previous prime (813559) and next prime (813577).

It is an unprimeable number.

813568 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3471 + ... + 3697.

2⁸¹³⁵⁶⁸ 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 813568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932976).

813568 is an abundant number, since it is smaller than the sum of its proper divisors (1052384).

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

813568 is an equidigital number, since it uses as much as digits as its factorization.

813568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 236 counting only the distinct ones).

The product of its digits is 5760, while the sum is 31.

The square root of 813568 is about 901.9800441251. The cubic root of 813568 is about 93.3536463724.

The spelling of 813568 in words is "eight hundred thirteen thousand, five hundred sixty-eight".