813599046 has 64 divisors (see below), whose sum is σ = 1988582400. Its totient is φ = 245001888.

The previous prime is 813599009. The next prime is 813599047. The reversal of 813599046 is 640995318.

It is a happy number.

813599046 is a `hidden beast` number, since 8 + 13 + 599 + 0 + 46 = 666.

It is a super-2 number, since 2×813599046² = 1323886815304220232, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 813598992 and 813599010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813599047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20665 + ... + 45323.

It is an arithmetic number, because the mean of its divisors is an integer number (31071600).

Almost surely, 2^813599046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813599046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994291200).

813599046 is an abundant number, since it is smaller than the sum of its proper divisors (1174983354).

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

813599046 is a wasteful number, since it uses less digits than its factorization.

813599046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24730 (or 24724 counting only the distinct ones).

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

The square root of 813599046 is about 28523.6576546557. The cubic root of 813599046 is about 933.5483382506.

The spelling of 813599046 in words is "eight hundred thirteen million, five hundred ninety-nine thousand, forty-six".