18412800 has 216 divisors, whose sum is σ = 69953856. Its totient is φ = 4177920.

The previous prime is 18412777. The next prime is 18412817. The reversal of 18412800 is 821481.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134332 + ... + 134468.

Almost surely, 2^18412800 is an apocalyptic number.

18412800 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 18412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34976928).

18412800 is an abundant number, since it is smaller than the sum of its proper divisors (51541056).

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

18412800 is a wasteful number, since it uses less digits than its factorization.

18412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 18412800 is about 4291.0138662092. The cubic root of 18412800 is about 264.0624278445.

The spelling of 18412800 in words is "eighteen million, four hundred twelve thousand, eight hundred".