956564 has 24 divisors (see below), whose sum is σ = 1935360. Its totient is φ = 405216.

The previous prime is 956521. The next prime is 956569. The reversal of 956564 is 465659.

It is a happy number.

Its product of digits (32400) is a multiple of the sum of its prime divisors (405).

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 956564.

It is not an unprimeable number, because it can be changed into a prime (956569) by changing a digit.

956564 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 7 ways as a sum of consecutive naturals, for example, 3422 + ... + 3690.

It is an arithmetic number, because the mean of its divisors is an integer number (80640).

2⁹⁵⁶⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

956564 is an abundant number, since it is smaller than the sum of its proper divisors (978796).

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

956564 is a wasteful number, since it uses less digits than its factorization.

956564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 405 counting only the distinct ones).

The product of its digits is 32400, while the sum is 35.

The square root of 956564 is about 978.0408989403. The cubic root of 956564 is about 98.5306491583.

The spelling of 956564 in words is "nine hundred fifty-six thousand, five hundred sixty-four".