20857200 has 240 divisors, whose sum is σ = 82661376. Its totient is φ = 4377600.

The previous prime is 20857183. The next prime is 20857211. The reversal of 20857200 is 275802.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 47 ways as a sum of consecutive naturals, for example, 109105 + ... + 109295.

Almost surely, 2^20857200 is an apocalyptic number.

20857200 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 20857200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41330688).

20857200 is an abundant number, since it is smaller than the sum of its proper divisors (61804176).

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

20857200 is a wasteful number, since it uses less digits than its factorization.

20857200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 20857200 is about 4566.9683598641. The cubic root of 20857200 is about 275.2656386382.

The spelling of 20857200 in words is "twenty million, eight hundred fifty-seven thousand, two hundred".