964656 has 160 divisors (see below), whose sum is σ = 3571200. Its totient is φ = 241920.

The previous prime is 964637. The next prime is 964661. The reversal of 964656 is 656469.

It is a happy number.

964656 is a `hidden beast` number, since 9 + 646 + 5 + 6 = 666.

It is a super-2 number, since 2×964656² = 1861122396672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 964656.

It is an unprimeable number.

964656 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 31 ways as a sum of consecutive naturals, for example, 33250 + ... + 33278.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2⁹⁶⁴⁶⁵⁶ 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 964656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785600).

964656 is an abundant number, since it is smaller than the sum of its proper divisors (2606544).

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

964656 is a wasteful number, since it uses less digits than its factorization.

964656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 52 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 964656 is about 982.1690282227. The cubic root of 964656 is about 98.8077075511.

964656 divided by its sum of digits (36) gives a triangular number (26796 = T₂₃₁).

The spelling of 964656 in words is "nine hundred sixty-four thousand, six hundred fifty-six".