8638800 has 120 divisors (see below), whose sum is σ = 28968384. Its totient is φ = 2196480.

The previous prime is 8638733. The next prime is 8638807. The reversal of 8638800 is 88368.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8638807) 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, 27444 + ... + 27756.

Almost surely, 2^8638800 is an apocalyptic number.

8638800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8638800 is the 2400-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8638800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14484192).

8638800 is an abundant number, since it is smaller than the sum of its proper divisors (20329584).

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

8638800 is a wasteful number, since it uses less digits than its factorization.

8638800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 8638800 is about 2939.1835601064. The cubic root of 8638800 is about 205.1876132950.

The spelling of 8638800 in words is "eight million, six hundred thirty-eight thousand, eight hundred".