956064 has 48 divisors (see below), whose sum is σ = 2624832. Its totient is φ = 304128.

The previous prime is 956057. The next prime is 956083. The reversal of 956064 is 460659.

It is a tau number, because it is divible by the number of its divisors (48).

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 956064.

It is an unprimeable number.

956064 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, 1992 + ... + 2424.

It is an arithmetic number, because the mean of its divisors is an integer number (54684).

2⁹⁵⁶⁰⁶⁴ 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 956064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1312416).

956064 is an abundant number, since it is smaller than the sum of its proper divisors (1668768).

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

956064 is a wasteful number, since it uses less digits than its factorization.

956064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

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

The square root of 956064 is about 977.7852524967. The cubic root of 956064 is about 98.5134787055.

The spelling of 956064 in words is "nine hundred fifty-six thousand, sixty-four".