20088200 has 96 divisors (see below), whose sum is σ = 53300160. Its totient is φ = 6969600.

The previous prime is 20088163. The next prime is 20088209. The reversal of 20088200 is 288002.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20088209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50402 + ... + 50798.

It is an arithmetic number, because the mean of its divisors is an integer number (555210).

Almost surely, 2^20088200 is an apocalyptic number.

20088200 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 20088200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26650080).

20088200 is an abundant number, since it is smaller than the sum of its proper divisors (33211960).

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

20088200 is a wasteful number, since it uses less digits than its factorization.

20088200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 20088200 is about 4481.9861668684. The cubic root of 20088200 is about 271.8401959235.

It can be divided in two parts, 200 and 88200, that multiplied together give a square (17640000 = 4200²).

The spelling of 20088200 in words is "twenty million, eighty-eight thousand, two hundred".