18913800 has 96 divisors (see below), whose sum is σ = 60710400. Its totient is φ = 4865280.

The previous prime is 18913799. The next prime is 18913819. The reversal of 18913800 is 831981.

It is a Cunningham number, because it is equal to 4349²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16857 + ... + 17943.

It is an arithmetic number, because the mean of its divisors is an integer number (632400).

Almost surely, 2^18913800 is an apocalyptic number.

18913800 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 18913800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30355200).

18913800 is an abundant number, since it is smaller than the sum of its proper divisors (41796600).

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

18913800 is a wasteful number, since it uses less digits than its factorization.

18913800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 18913800 is about 4348.9998850310. Note that the first 3 decimals coincide. The cubic root of 18913800 is about 266.4360158360.

The spelling of 18913800 in words is "eighteen million, nine hundred thirteen thousand, eight hundred".