18806400 has 144 divisors (see below), whose sum is σ = 67208310. Its totient is φ = 5007360.

The previous prime is 18806399. The next prime is 18806419. The reversal of 18806400 is 460881.

18806400 is a `hidden beast` number, since 18 + 8 + 0 + 640 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11451456 + 7354944 = 3384^2 + 2712^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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, 28474 + ... + 29126.

Almost surely, 2^18806400 is an apocalyptic number.

18806400 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 18806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33604155).

18806400 is an abundant number, since it is smaller than the sum of its proper divisors (48401910).

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

18806400 is a wasteful number, since it uses less digits than its factorization.

18806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 663 counting only the distinct ones).

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

The square root of 18806400 is about 4336.6346399022. The cubic root of 18806400 is about 265.9307487390.

The spelling of 18806400 in words is "eighteen million, eight hundred six thousand, four hundred".