965888 has 72 divisors (see below), whose sum is σ = 2452800. Its totient is φ = 376320.

The previous prime is 965857. The next prime is 965893. The reversal of 965888 is 888569.

It is a Harshad number since it is a multiple of its sum of digits (44).

Its product of digits (138240) is a multiple of the sum of its prime divisors (20).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 965888.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87803 + ... + 87813.

2⁹⁶⁵⁸⁸⁸ is an apocalyptic number.

965888 is a gapful number since it is divisible by the number (98) 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 965888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226400).

965888 is an abundant number, since it is smaller than the sum of its proper divisors (1486912).

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

965888 is an equidigital number, since it uses as much as digits as its factorization.

965888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 20 counting only the distinct ones).

The product of its digits is 138240, while the sum is 44.

The square root of 965888 is about 982.7960113879. The cubic root of 965888 is about 98.8497533891.

965888 divided by its sum of digits (44) gives a cube (21952 = 28³).

The spelling of 965888 in words is "nine hundred sixty-five thousand, eight hundred eighty-eight".