18442800 has 180 divisors, whose sum is σ = 65963040. Its totient is φ = 4769280.

The previous prime is 18442789. The next prime is 18442817. The reversal of 18442800 is 824481.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 169146 + ... + 169254.

Almost surely, 2^18442800 is an apocalyptic number.

18442800 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 18442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32981520).

18442800 is an abundant number, since it is smaller than the sum of its proper divisors (47520240).

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

18442800 is a wasteful number, since it uses less digits than its factorization.

18442800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 18442800 is about 4294.5081208446. The cubic root of 18442800 is about 264.2057624514.

The spelling of 18442800 in words is "eighteen million, four hundred forty-two thousand, eight hundred".