18364400 has 60 divisors (see below), whose sum is σ = 45574464. Its totient is φ = 7104000.

The previous prime is 18364387. The next prime is 18364417. The reversal of 18364400 is 446381.

It is a self number, because there is not a number n which added to its sum of digits gives 18364400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11660 + ... + 13140.

Almost surely, 2^18364400 is an apocalyptic number.

18364400 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 18364400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22787232).

18364400 is an abundant number, since it is smaller than the sum of its proper divisors (27210064).

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

18364400 is a wasteful number, since it uses less digits than its factorization.

18364400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 18364400 is about 4285.3704623988. The cubic root of 18364400 is about 263.8308527754.

The spelling of 18364400 in words is "eighteen million, three hundred sixty-four thousand, four hundred".