20039200 has 72 divisors (see below), whose sum is σ = 50317092. Its totient is φ = 7787520.

The previous prime is 20039191. The next prime is 20039207. The reversal of 20039200 is 293002.

It can be written as a sum of positive squares in 6 ways, for example, as 17740944 + 2298256 = 4212^2 + 1516^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (20039207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29262 + ... + 29938.

Almost surely, 2^20039200 is an apocalyptic number.

20039200 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 20039200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25158546).

20039200 is an abundant number, since it is smaller than the sum of its proper divisors (30277892).

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

20039200 is a wasteful number, since it uses less digits than its factorization.

20039200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 20039200 is about 4476.5165028178. The cubic root of 20039200 is about 271.6189878730.

It can be divided in two parts, 200 and 39200, that multiplied together give a square (7840000 = 2800²).

The spelling of 20039200 in words is "twenty million, thirty-nine thousand, two hundred".