18256800 has 72 divisors (see below), whose sum is σ = 59433696. Its totient is φ = 4867840.

The previous prime is 18256769. The next prime is 18256801. The reversal of 18256800 is 865281.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (18256801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1404 + ... + 6203.

It is an arithmetic number, because the mean of its divisors is an integer number (825468).

Almost surely, 2^18256800 is an apocalyptic number.

18256800 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 18256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29716848).

18256800 is an abundant number, since it is smaller than the sum of its proper divisors (41176896).

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

18256800 is a wasteful number, since it uses less digits than its factorization.

18256800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7630 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 18256800 is about 4272.7976783368. The cubic root of 18256800 is about 263.3145671969.

The spelling of 18256800 in words is "eighteen million, two hundred fifty-six thousand, eight hundred".