18878400 has 336 divisors, whose sum is σ = 75590400. Its totient is φ = 4561920.

The previous prime is 18878383. The next prime is 18878429. The reversal of 18878400 is 487881.

18878400 is a `hidden beast` number, since 188 + 78 + 400 = 666.

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

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820789 + ... + 820811.

Almost surely, 2^18878400 is an apocalyptic number.

18878400 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 18878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37795200).

18878400 is an abundant number, since it is smaller than the sum of its proper divisors (56712000).

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

18878400 is a wasteful number, since it uses less digits than its factorization.

18878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 18878400 is about 4344.9280776556. The cubic root of 18878400 is about 266.2696870981.

The spelling of 18878400 in words is "eighteen million, eight hundred seventy-eight thousand, four hundred".