18838800 has 90 divisors (see below), whose sum is σ = 65388362. Its totient is φ = 5022720.

The previous prime is 18838789. The next prime is 18838801. The reversal of 18838800 is 883881.

It can be written as a sum of positive squares in 3 ways, for example, as 5089536 + 13749264 = 2256^2 + 3708^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (18838801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 984 + ... + 6216.

Almost surely, 2^18838800 is an apocalyptic number.

18838800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32694181).

18838800 is an abundant number, since it is smaller than the sum of its proper divisors (46549562).

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

18838800 is a wasteful number, since it uses less digits than its factorization.

18838800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5257 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 18838800 is about 4340.3686479376. The cubic root of 18838800 is about 266.0833778611.

The spelling of 18838800 in words is "eighteen million, eight hundred thirty-eight thousand, eight hundred".