18285800 has 72 divisors (see below), whose sum is σ = 46121490. Its totient is φ = 6739200.

The previous prime is 18285791. The next prime is 18285823. The reversal of 18285800 is 858281.

It can be written as a sum of positive squares in 9 ways, for example, as 662596 + 17623204 = 814^2 + 4198^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33530 + ... + 34070.

Almost surely, 2^18285800 is an apocalyptic number.

18285800 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 18285800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23060745).

18285800 is an abundant number, since it is smaller than the sum of its proper divisors (27835690).

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

18285800 is a wasteful number, since it uses less digits than its factorization.

18285800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 32.

The square root of 18285800 is about 4276.1898928836. The cubic root of 18285800 is about 263.4539140488.

The spelling of 18285800 in words is "eighteen million, two hundred eighty-five thousand, eight hundred".