20259200 has 96 divisors (see below), whose sum is σ = 54006960. Its totient is φ = 7464960.

The previous prime is 20259199. The next prime is 20259203. The reversal of 20259200 is 295202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20259203) 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, 41357 + ... + 41843.

Almost surely, 2^20259200 is an apocalyptic number.

20259200 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 20259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27003480).

20259200 is an abundant number, since it is smaller than the sum of its proper divisors (33747760).

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

20259200 is a wasteful number, since it uses less digits than its factorization.

20259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 20259200 is about 4501.0221061443. The cubic root of 20259200 is about 272.6093604764.

The spelling of 20259200 in words is "twenty million, two hundred fifty-nine thousand, two hundred".