813362560 has 32 divisors (see below), whose sum is σ = 1944446400. Its totient is φ = 325344768.

The previous prime is 813362549. The next prime is 813362611. The reversal of 813362560 is 65263318.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 634800 + ... + 636079.

It is an arithmetic number, because the mean of its divisors is an integer number (60763950).

Almost surely, 2^813362560 is an apocalyptic number.

813362560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813362560 is an abundant number, since it is smaller than the sum of its proper divisors (1131083840).

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

813362560 is a wasteful number, since it uses less digits than its factorization.

813362560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1270898 (or 1270886 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 813362560 is about 28519.5119172822. The cubic root of 813362560 is about 933.4578790713.

The spelling of 813362560 in words is "eight hundred thirteen million, three hundred sixty-two thousand, five hundred sixty".