813934264 has 128 divisors (see below), whose sum is σ = 1886976000. Its totient is φ = 324057600.

The previous prime is 813934259. The next prime is 813934267. The reversal of 813934264 is 462439318.

It is a happy number.

It is a super-2 number, since 2×813934264² = 1324977972226443392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813934267) by changing a digit.

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, 2092182 + ... + 2092570.

It is an arithmetic number, because the mean of its divisors is an integer number (14742000).

Almost surely, 2^813934264 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 813934264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488000).

813934264 is an abundant number, since it is smaller than the sum of its proper divisors (1073041736).

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

813934264 is a wasteful number, since it uses less digits than its factorization.

813934264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 505 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The square root of 813934264 is about 28529.5331893110. The cubic root of 813934264 is about 933.6765337620.

The spelling of 813934264 in words is "eight hundred thirteen million, nine hundred thirty-four thousand, two hundred sixty-four".