636800 has 48 divisors (see below), whose sum is σ = 1581000. Its totient is φ = 253440.

The previous prime is 636781. The next prime is 636809. The reversal of 636800 is 8636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (636809) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3101 + ... + 3299.

2⁶³⁶⁸⁰⁰ 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 636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790500).

636800 is an abundant number, since it is smaller than the sum of its proper divisors (944200).

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

636800 is a wasteful number, since it uses less digits than its factorization.

636800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 636800 is about 797.9974937304. The cubic root of 636800 is about 86.0335185731.

The spelling of 636800 in words is "six hundred thirty-six thousand, eight hundred".