960564 has 48 divisors (see below), whose sum is σ = 2580480. Its totient is φ = 275040.

The previous prime is 960527. The next prime is 960569. The reversal of 960564 is 465069.

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 960564.

It is not an unprimeable number, because it can be changed into a prime (960569) by changing a digit.

960564 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2317 + ... + 2699.

It is an arithmetic number, because the mean of its divisors is an integer number (53760).

2⁹⁶⁰⁵⁶⁴ 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 960564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290240).

960564 is an abundant number, since it is smaller than the sum of its proper divisors (1619916).

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

960564 is a wasteful number, since it uses less digits than its factorization.

960564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 418 counting only the distinct ones).

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

The square root of 960564 is about 980.0836698976. The cubic root of 960564 is about 98.6677978525.

It can be divided in two parts, 9605 and 64, that added together give a palindrome (9669).

The spelling of 960564 in words is "nine hundred sixty thousand, five hundred sixty-four".