813274560 has 672 divisors, whose sum is σ = 3565062720. Its totient is φ = 173408256.

The previous prime is 813274547. The next prime is 813274573. The reversal of 813274560 is 65472318.

It is an interprime number because it is at equal distance from previous prime (813274547) and next prime (813274573).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×813274560² = 1322831019886387200, which contains 22 as substring.

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

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 95 ways as a sum of consecutive naturals, for example, 7197064 + ... + 7197176.

Almost surely, 2^813274560 is an apocalyptic number.

813274560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813274560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782531360).

813274560 is an abundant number, since it is smaller than the sum of its proper divisors (2751788160).

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

813274560 is a wasteful number, since it uses less digits than its factorization.

813274560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 813274560 is about 28517.9690721482. The cubic root of 813274560 is about 933.4242133728.

The spelling of 813274560 in words is "eight hundred thirteen million, two hundred seventy-four thousand, five hundred sixty".