18838400 has 144 divisors (see below), whose sum is σ = 55082040. Its totient is φ = 6236160.

The previous prime is 18838387. The next prime is 18838409. The reversal of 18838400 is 483881.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18838409) 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, 649586 + ... + 649614.

Almost surely, 2^18838400 is an apocalyptic number.

18838400 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 18838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27541020).

18838400 is an abundant number, since it is smaller than the sum of its proper divisors (36243640).

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

18838400 is an equidigital number, since it uses as much as digits as its factorization.

18838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 18838400 is about 4340.3225686578. The cubic root of 18838400 is about 266.0814946183.

The spelling of 18838400 in words is "eighteen million, eight hundred thirty-eight thousand, four hundred".