966588 has 48 divisors (see below), whose sum is σ = 2655744. Its totient is φ = 267840.

The previous prime is 966583. The next prime is 966613. The reversal of 966588 is 885669.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (103680) is a multiple of the sum of its prime divisors (360).

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 966588.

It is not an unprimeable number, because it can be changed into a prime (966583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2953 + ... + 3263.

It is an arithmetic number, because the mean of its divisors is an integer number (55328).

2⁹⁶⁶⁵⁸⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327872).

966588 is an abundant number, since it is smaller than the sum of its proper divisors (1689156).

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

966588 is a wasteful number, since it uses less digits than its factorization.

966588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 360 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 966588 is about 983.1520736895. The cubic root of 966588 is about 98.8736271434.

The spelling of 966588 in words is "nine hundred sixty-six thousand, five hundred eighty-eight".