965640 has 64 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 237312.

The previous prime is 965639. The next prime is 965647. The reversal of 965640 is 46569.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 965598 and 965607.

It is not an unprimeable number, because it can be changed into a prime (965647) 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, 1251 + ... + 1869.

It is an arithmetic number, because the mean of its divisors is an integer number (48825).

2⁹⁶⁵⁶⁴⁰ 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 965640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

965640 is an abundant number, since it is smaller than the sum of its proper divisors (2159160).

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

965640 is a wasteful number, since it uses less digits than its factorization.

965640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 965640 is about 982.6698326498. The cubic root of 965640 is about 98.8412924919.

The spelling of 965640 in words is "nine hundred sixty-five thousand, six hundred forty".