816693264 has 120 divisors (see below), whose sum is σ = 2483769600. Its totient is φ = 249557760.

The previous prime is 816693263. The next prime is 816693299. The reversal of 816693264 is 462396618.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (816693263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80002 + ... + 89630.

It is an arithmetic number, because the mean of its divisors is an integer number (20698080).

Almost surely, 2^816693264 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 816693264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241884800).

816693264 is an abundant number, since it is smaller than the sum of its proper divisors (1667076336).

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

816693264 is a wasteful number, since it uses less digits than its factorization.

816693264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9693 (or 9684 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 816693264 is about 28577.8456850757. The cubic root of 816693264 is about 934.7303077968.

The spelling of 816693264 in words is "eight hundred sixteen million, six hundred ninety-three thousand, two hundred sixty-four".