816636900 has 72 divisors (see below), whose sum is σ = 2373320320. Its totient is φ = 216800640.

The previous prime is 816636883. The next prime is 816636923. The reversal of 816636900 is 9636618.

It is a happy number.

816636900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×816636900² = 1333791652883220000, which contains 22 as substring.

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, 62757 + ... + 74643.

Almost surely, 2^816636900 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 816636900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186660160).

816636900 is an abundant number, since it is smaller than the sum of its proper divisors (1556683420).

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

816636900 is a wasteful number, since it uses less digits than its factorization.

816636900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12133 (or 12126 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 816636900 is about 28576.8595195483. The cubic root of 816636900 is about 934.7088038641.

The spelling of 816636900 in words is "eight hundred sixteen million, six hundred thirty-six thousand, nine hundred".