20788200 has 72 divisors (see below), whose sum is σ = 69819750. Its totient is φ = 5543040.

The previous prime is 20788177. The next prime is 20788219. The reversal of 20788200 is 288702.

It can be written as a sum of positive squares in 3 ways, for example, as 19660356 + 1127844 = 4434^2 + 1062^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 3975 + ... + 7574.

Almost surely, 2^20788200 is an apocalyptic number.

20788200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20788200 is an abundant number, since it is smaller than the sum of its proper divisors (49031550).

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

20788200 is a wasteful number, since it uses less digits than its factorization.

20788200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11571 (or 11559 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 20788200 is about 4559.4078562901. The cubic root of 20788200 is about 274.9617577676.

The spelling of 20788200 in words is "twenty million, seven hundred eighty-eight thousand, two hundred".