1995120 has 120 divisors (see below), whose sum is σ = 7137936. Its totient is φ = 497664.

The previous prime is 1995109. The next prime is 1995121. The reversal of 1995120 is 215991.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1995121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 12159 + ... + 12321.

2^1995120 is an apocalyptic number.

1995120 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 1995120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568968).

1995120 is an abundant number, since it is smaller than the sum of its proper divisors (5142816).

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

1995120 is a wasteful number, since it uses less digits than its factorization.

1995120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 1995120 is about 1412.4871680833. The cubic root of 1995120 is about 125.8895479524.

The spelling of 1995120 in words is "one million, nine hundred ninety-five thousand, one hundred twenty".