965880 has 48 divisors (see below), whose sum is σ = 3140280. Its totient is φ = 257472.

The previous prime is 965857. The next prime is 965893. The reversal of 965880 is 88569.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

965880 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 982 + ... + 1701.

2⁹⁶⁵⁸⁸⁰ is an apocalyptic number.

965880 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

965880 is an abundant number, since it is smaller than the sum of its proper divisors (2174400).

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

965880 is a wasteful number, since it uses less digits than its factorization.

965880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 965880 is about 982.7919413589. The cubic root of 965880 is about 98.8494804796.

The spelling of 965880 in words is "nine hundred sixty-five thousand, eight hundred eighty".