1995200 has 84 divisors (see below), whose sum is σ = 5196840. Its totient is φ = 752640.

The previous prime is 1995187. The next prime is 1995211. The reversal of 1995200 is 25991.

It is a happy number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1995200.

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, 46379 + ... + 46421.

2^1995200 is an apocalyptic number.

1995200 is a gapful number since it is divisible by the number (10) 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 1995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598420).

1995200 is an abundant number, since it is smaller than the sum of its proper divisors (3201640).

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

1995200 is a wasteful number, since it uses less digits than its factorization.

1995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 1995200 is about 1412.5154866408. The cubic root of 1995200 is about 125.8912305629.

The spelling of 1995200 in words is "one million, nine hundred ninety-five thousand, two hundred".