18873000 has 160 divisors (see below), whose sum is σ = 66254760. Its totient is φ = 5011200.

The previous prime is 18872993. The next prime is 18873053. The reversal of 18873000 is 37881.

It can be written as a sum of positive squares in 4 ways, for example, as 3048516 + 15824484 = 1746^2 + 3978^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80884 + ... + 81116.

Almost surely, 2^18873000 is an apocalyptic number.

18873000 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 18873000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33127380).

18873000 is an abundant number, since it is smaller than the sum of its proper divisors (47381760).

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

18873000 is a wasteful number, since it uses less digits than its factorization.

18873000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 18873000 is about 4344.3066190130. The cubic root of 18873000 is about 266.2442966443.

The spelling of 18873000 in words is "eighteen million, eight hundred seventy-three thousand".