18406800 has 90 divisors (see below), whose sum is σ = 63889202. Its totient is φ = 4907520.

The previous prime is 18406789. The next prime is 18406807. The reversal of 18406800 is 860481.

It can be written as a sum of positive squares in 3 ways, for example, as 156816 + 18249984 = 396^2 + 4272^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is not an unprimeable number, because it can be changed into a prime (18406807) 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 17 ways as a sum of consecutive naturals, for example, 1044 + ... + 6156.

Almost surely, 2^18406800 is an apocalyptic number.

18406800 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 18406800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31944601).

18406800 is an abundant number, since it is smaller than the sum of its proper divisors (45482402).

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

18406800 is a wasteful number, since it uses less digits than its factorization.

18406800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5137 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 18406800 is about 4290.3146737739. The cubic root of 18406800 is about 264.0337422436.

The spelling of 18406800 in words is "eighteen million, four hundred six thousand, eight hundred".