18220800 has 216 divisors, whose sum is σ = 65645104. Its totient is φ = 4423680.

The previous prime is 18220799. The next prime is 18220823. The reversal of 18220800 is 802281.

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, 249564 + ... + 249636.

Almost surely, 2^18220800 is an apocalyptic number.

18220800 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 18220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32822552).

18220800 is an abundant number, since it is smaller than the sum of its proper divisors (47424304).

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

18220800 is a wasteful number, since it uses less digits than its factorization.

18220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 18220800 is about 4268.5829030253. The cubic root of 18220800 is about 263.1413794548.

The spelling of 18220800 in words is "eighteen million, two hundred twenty thousand, eight hundred".