18361800 has 108 divisors (see below), whose sum is σ = 62281635. Its totient is φ = 4848000.

The previous prime is 18361789. The next prime is 18361801. The reversal of 18361800 is 816381.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 16305444 + 2056356 = 4038^2 + 1434^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=3030.

It is not an unprimeable number, because it can be changed into a prime (18361801) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 181750 + ... + 181850.

Almost surely, 2^18361800 is an apocalyptic number.

18361800 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 18361800

18361800 is an abundant number, since it is smaller than the sum of its proper divisors (43919835).

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

18361800 is a wasteful number, since it uses less digits than its factorization.

18361800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 111 counting only the distinct ones).

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

The square root of 18361800 is about 4285.0670939905. The cubic root of 18361800 is about 263.8184012824.

Multiplying 18361800 by its product of nonzero digits (1152), we get a square (21152793600 = 145440²).

The spelling of 18361800 in words is "eighteen million, three hundred sixty-one thousand, eight hundred".