18874100 has 72 divisors (see below), whose sum is σ = 47705280. Its totient is φ = 6347520.

The previous prime is 18874081. The next prime is 18874111. The reversal of 18874100 is 147881.

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, 41072 + ... + 41528.

Almost surely, 2^18874100 is an apocalyptic number.

18874100 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 18874100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23852640).

18874100 is an abundant number, since it is smaller than the sum of its proper divisors (28831180).

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

18874100 is a wasteful number, since it uses less digits than its factorization.

18874100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 29.

The square root of 18874100 is about 4344.4332196502. The cubic root of 18874100 is about 266.2494691666.

The spelling of 18874100 in words is "eighteen million, eight hundred seventy-four thousand, one hundred".