18316800 has 240 divisors, whose sum is σ = 68500080. Its totient is φ = 4792320.

The previous prime is 18316789. The next prime is 18316807. The reversal of 18316800 is 861381.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18316807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345574 + ... + 345626.

It is an arithmetic number, because the mean of its divisors is an integer number (285417).

Almost surely, 2^18316800 is an apocalyptic number.

18316800 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 18316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34250040).

18316800 is an abundant number, since it is smaller than the sum of its proper divisors (50183280).

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

18316800 is an equidigital number, since it uses as much as digits as its factorization.

18316800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 18316800 is about 4279.8130800305. The cubic root of 18316800 is about 263.6027082033.

The spelling of 18316800 in words is "eighteen million, three hundred sixteen thousand, eight hundred".