813176064 has 144 divisors (see below), whose sum is σ = 2440045440. Its totient is φ = 267079680.

The previous prime is 813176059. The next prime is 813176069. The reversal of 813176064 is 460671318.

It is an interprime number because it is at equal distance from previous prime (813176059) and next prime (813176069).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×813176064² = 1322510622125064192, 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 not an unprimeable number, because it can be changed into a prime (813176069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 489924 + ... + 491580.

It is an arithmetic number, because the mean of its divisors is an integer number (16944760).

Almost surely, 2^813176064 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 813176064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1220022720).

813176064 is an abundant number, since it is smaller than the sum of its proper divisors (1626869376).

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

813176064 is a wasteful number, since it uses less digits than its factorization.

813176064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 813176064 is about 28516.2421086650. The cubic root of 813176064 is about 933.3865293943.

The spelling of 813176064 in words is "eight hundred thirteen million, one hundred seventy-six thousand, sixty-four".