813296160 has 192 divisors, whose sum is σ = 2938844160. Its totient is φ = 209848320.

The previous prime is 813296153. The next prime is 813296221. The reversal of 813296160 is 61692318.

813296160 is a `hidden beast` number, since 8 + 1 + 32 + 9 + 616 + 0 = 666.

It is a super-2 number, since 2×813296160² = 1322901287741491200, which contains 22 as substring.

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

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, 130884 + ... + 136956.

It is an arithmetic number, because the mean of its divisors is an integer number (15306480).

Almost surely, 2^813296160 is an apocalyptic number.

813296160 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 813296160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469422080).

813296160 is an abundant number, since it is smaller than the sum of its proper divisors (2125548000).

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

813296160 is a wasteful number, since it uses less digits than its factorization.

813296160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6128 (or 6114 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 813296160 is about 28518.3477782287. The cubic root of 813296160 is about 933.4324769964.

The spelling of 813296160 in words is "eight hundred thirteen million, two hundred ninety-six thousand, one hundred sixty".