20188800 has 144 divisors (see below), whose sum is σ = 72141030. Its totient is φ = 5376000.

The previous prime is 20188799. The next prime is 20188823. The reversal of 20188800 is 888102.

It can be written as a sum of positive squares in 3 ways, for example, as 18045504 + 2143296 = 4248^2 + 1464^2 .

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, 28450 + ... + 29150.

Almost surely, 2^20188800 is an apocalyptic number.

20188800 is a gapful number since it is divisible by the number (20) 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 20188800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36070515).

20188800 is an abundant number, since it is smaller than the sum of its proper divisors (51952230).

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

20188800 is a wasteful number, since it uses less digits than its factorization.

20188800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 20188800 is about 4493.1948544438. The cubic root of 20188800 is about 272.2932247265.

The spelling of 20188800 in words is "twenty million, one hundred eighty-eight thousand, eight hundred".