20057200 has 60 divisors (see below), whose sum is σ = 49403088. Its totient is φ = 7820800.

The previous prime is 20057197. The next prime is 20057239. The reversal of 20057200 is 275002.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15789 + ... + 17011.

Almost surely, 2^20057200 is an apocalyptic number.

20057200 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 20057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24701544).

20057200 is an abundant number, since it is smaller than the sum of its proper divisors (29345888).

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

20057200 is a wasteful number, since it uses less digits than its factorization.

20057200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1282 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 20057200 is about 4478.5265434069. The cubic root of 20057200 is about 271.7002898318.

The spelling of 20057200 in words is "twenty million, fifty-seven thousand, two hundred".