1965880 has 96 divisors (see below), whose sum is σ = 5540400. Its totient is φ = 623616.

The previous prime is 1965853. The next prime is 1965883. The reversal of 1965880 is 885691.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1965883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33291 + ... + 33349.

2^1965880 is an apocalyptic number.

1965880 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 1965880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770200).

1965880 is an abundant number, since it is smaller than the sum of its proper divisors (3574520).

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

1965880 is a wasteful number, since it uses less digits than its factorization.

1965880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 1965880 is about 1402.0984273581. The cubic root of 1965880 is about 125.2715164701.

The spelling of 1965880 in words is "one million, nine hundred sixty-five thousand, eight hundred eighty".