20095200 has 108 divisors (see below), whose sum is σ = 70886088. Its totient is φ = 5356800.

The previous prime is 20095193. The next prime is 20095211. The reversal of 20095200 is 259002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 5805 + ... + 8595.

Almost surely, 2^20095200 is an apocalyptic number.

20095200 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 20095200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35443044).

20095200 is an abundant number, since it is smaller than the sum of its proper divisors (50790888).

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

20095200 is a wasteful number, since it uses less digits than its factorization.

20095200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2801 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 20095200 is about 4482.7670026447. The cubic root of 20095200 is about 271.8717676984.

The spelling of 20095200 in words is "twenty million, ninety-five thousand, two hundred".