816586920 has 96 divisors (see below), whose sum is σ = 2752233120. Its totient is φ = 217753920.

The previous prime is 816586913. The next prime is 816586937. The reversal of 816586920 is 29685618.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 32286 + ... + 51725.

It is an arithmetic number, because the mean of its divisors is an integer number (28669095).

Almost surely, 2^816586920 is an apocalyptic number.

It is an amenable number.

816586920 is an abundant number, since it is smaller than the sum of its proper divisors (1935646200).

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

816586920 is a wasteful number, since it uses less digits than its factorization.

816586920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84037 (or 84021 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 816586920 is about 28575.9850223925. The cubic root of 816586920 is about 934.6897347204.

The spelling of 816586920 in words is "eight hundred sixteen million, five hundred eighty-six thousand, nine hundred twenty".