965608 has 32 divisors (see below), whose sum is σ = 2122560. Its totient is φ = 403200.

The previous prime is 965603. The next prime is 965611. The reversal of 965608 is 806569.

965608 = T₁₅₇ + T₁₅₈ + ... + T₂₁₂.

It is not an unprimeable number, because it can be changed into a prime (965603) by changing a digit.

965608 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 7 ways as a sum of consecutive naturals, for example, 2208 + ... + 2608.

It is an arithmetic number, because the mean of its divisors is an integer number (66330).

2⁹⁶⁵⁶⁰⁸ 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 965608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061280).

965608 is an abundant number, since it is smaller than the sum of its proper divisors (1156952).

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

965608 is a wasteful number, since it uses less digits than its factorization.

965608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 965608 is about 982.6535503421. The cubic root of 965608 is about 98.8402006577.

The spelling of 965608 in words is "nine hundred sixty-five thousand, six hundred eight".