946944 has 72 divisors (see below), whose sum is σ = 2820720. Its totient is φ = 313344.

The previous prime is 946943. The next prime is 946949. The reversal of 946944 is 449649.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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.

Its product of digits (31104) is a multiple of the sum of its prime factors (162).

It is a nialpdrome in base 16.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 946899 and 946908.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 946944.

It is not an unprimeable number, because it can be changed into a prime (946943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6844 + ... + 6980.

2⁹⁴⁶⁹⁴⁴ 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 946944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410360).

946944 is an abundant number, since it is smaller than the sum of its proper divisors (1873776).

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

946944 is a wasteful number, since it uses less digits than its factorization.

946944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 142 counting only the distinct ones).

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

The square root of 946944 is about 973.1104767702. The cubic root of 946944 is about 98.1992337232.

The spelling of 946944 in words is "nine hundred forty-six thousand, nine hundred forty-four".