20883200 has 108 divisors (see below), whose sum is σ = 55887048. Its totient is φ = 7680000.

The previous prime is 20883199. The next prime is 20883217. The reversal of 20883200 is 238802.

It is a super-2 number, since 2×20883200² = 872216084480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 83075 + ... + 83325.

Almost surely, 2^20883200 is an apocalyptic number.

20883200 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 20883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27943524).

20883200 is an abundant number, since it is smaller than the sum of its proper divisors (35003848).

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

20883200 is a wasteful number, since it uses less digits than its factorization.

20883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 20883200 is about 4569.8140005913. The cubic root of 20883200 is about 275.3799706163.

It can be divided in two parts, 208 and 83200, that multiplied together give a square (17305600 = 4160²).

The spelling of 20883200 in words is "twenty million, eight hundred eighty-three thousand, two hundred".