813269160 has 320 divisors, whose sum is σ = 3141547200. Its totient is φ = 186624000.

The previous prime is 813269147. The next prime is 813269173. The reversal of 813269160 is 61962318.

It is an interprime number because it is at equal distance from previous prime (813269147) and next prime (813269173).

It is a super-2 number, since 2×813269160² = 1322813453214211200, 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 (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 676560 + ... + 677760.

It is an arithmetic number, because the mean of its divisors is an integer number (9817335).

Almost surely, 2^813269160 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 813269160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570773600).

813269160 is an abundant number, since it is smaller than the sum of its proper divisors (2328278040).

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

813269160 is a wasteful number, since it uses less digits than its factorization.

813269160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1241 counting only the distinct ones).

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

The square root of 813269160 is about 28517.8743948423. The cubic root of 813269160 is about 933.4221474441.

The spelling of 813269160 in words is "eight hundred thirteen million, two hundred sixty-nine thousand, one hundred sixty".