1995280 has 60 divisors (see below), whose sum is σ = 5407020. Its totient is φ = 682752.

The previous prime is 1995271. The next prime is 1995289. The reversal of 1995280 is 825991.

It is an interprime number because it is at equal distance from previous prime (1995271) and next prime (1995289).

It can be written as a sum of positive squares in 2 ways, for example, as 1192464 + 802816 = 1092^2 + 896^2 .

It is a super-2 number, since 2×1995280² = 7962284556800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1995289) 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, 3666 + ... + 4174.

It is an arithmetic number, because the mean of its divisors is an integer number (90117).

2^1995280 is an apocalyptic number.

1995280 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 1995280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2703510).

1995280 is an abundant number, since it is smaller than the sum of its proper divisors (3411740).

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

1995280 is a wasteful number, since it uses less digits than its factorization.

1995280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The square root of 1995280 is about 1412.5438046305. The cubic root of 1995280 is about 125.8929131283.

The spelling of 1995280 in words is "one million, nine hundred ninety-five thousand, two hundred eighty".