965664 has 72 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 275328.

The previous prime is 965659. The next prime is 965677. The reversal of 965664 is 466569.

It is a happy number.

965664 is a `hidden beast` number, since 96 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1777 + ... + 2255.

It is an arithmetic number, because the mean of its divisors is an integer number (43680).

2⁹⁶⁵⁶⁶⁴ 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 965664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

965664 is an abundant number, since it is smaller than the sum of its proper divisors (2179296).

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

965664 is a wasteful number, since it uses less digits than its factorization.

965664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 491 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 965664 is about 982.6820442035. The cubic root of 965664 is about 98.8421113517.

The spelling of 965664 in words is "nine hundred sixty-five thousand, six hundred sixty-four".