18942800 has 120 divisors (see below), whose sum is σ = 49818240. Its totient is φ = 6899200.

The previous prime is 18942769. The next prime is 18942809. The reversal of 18942800 is 824981.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18942809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266765 + ... + 266835.

It is an arithmetic number, because the mean of its divisors is an integer number (415152).

Almost surely, 2^18942800 is an apocalyptic number.

18942800 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 18942800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24909120).

18942800 is an abundant number, since it is smaller than the sum of its proper divisors (30875440).

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

18942800 is a wasteful number, since it uses less digits than its factorization.

18942800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 18942800 is about 4352.3327078706. The cubic root of 18942800 is about 266.5721192597.

The spelling of 18942800 in words is "eighteen million, nine hundred forty-two thousand, eight hundred".