813933216 has 144 divisors (see below), whose sum is σ = 2385137664. Its totient is φ = 263158272.

The previous prime is 813933163. The next prime is 813933233. The reversal of 813933216 is 612339318.

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

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2124961 + ... + 2125343.

It is an arithmetic number, because the mean of its divisors is an integer number (16563456).

Almost surely, 2^813933216 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 813933216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192568832).

813933216 is an abundant number, since it is smaller than the sum of its proper divisors (1571204448).

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

813933216 is a wasteful number, since it uses less digits than its factorization.

813933216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 592 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 813933216 is about 28529.5148223730. The cubic root of 813933216 is about 933.6761330362.

The spelling of 813933216 in words is "eight hundred thirteen million, nine hundred thirty-three thousand, two hundred sixteen".