964944 has 30 divisors (see below), whose sum is σ = 2700906. Its totient is φ = 321600.

The previous prime is 964939. The next prime is 964967. The reversal of 964944 is 449469.

964944 is a `hidden beast` number, since 9 + 649 + 4 + 4 = 666.

964944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 788544 + 176400 = 888^2 + 420^2 .

It is a super-2 number, since 2×964944² = 1862233846272, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 964899 and 964908.

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 964944.

It is an unprimeable number.

964944 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 5 ways as a sum of consecutive naturals, for example, 3207 + ... + 3494.

2⁹⁶⁴⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

964944 is an abundant number, since it is smaller than the sum of its proper divisors (1735962).

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

964944 is a wasteful number, since it uses less digits than its factorization.

964944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6715 (or 6706 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 964944 is about 982.3156315564. The cubic root of 964944 is about 98.8175396530.

The spelling of 964944 in words is "nine hundred sixty-four thousand, nine hundred forty-four".