816826864 has 60 divisors (see below), whose sum is σ = 1846515000. Its totient is φ = 349017984.

The previous prime is 816826859. The next prime is 816826873. The reversal of 816826864 is 468628618.

It is a super-2 number, since 2×816826864² = 1334412251504148992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295762 + ... + 298510.

It is an arithmetic number, because the mean of its divisors is an integer number (30775250).

Almost surely, 2^816826864 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 816826864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923257500).

816826864 is an abundant number, since it is smaller than the sum of its proper divisors (1029688136).

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

816826864 is a wasteful number, since it uses less digits than its factorization.

816826864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3150 (or 3137 counting only the distinct ones).

The product of its digits is 884736, while the sum is 49.

The square root of 816826864 is about 28580.1830644942. The cubic root of 816826864 is about 934.7812747737.

The spelling of 816826864 in words is "eight hundred sixteen million, eight hundred twenty-six thousand, eight hundred sixty-four".