946960 has 80 divisors (see below), whose sum is σ = 2678400. Its totient is φ = 304128.

The previous prime is 946949. The next prime is 946961. The reversal of 946960 is 69649.

946960 = 38² + 39² + ... + 142².

It is a tau number, because it is divible by the number of its divisors (80).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (946961) by changing a digit.

946960 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 15 ways as a sum of consecutive naturals, for example, 10596 + ... + 10684.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2⁹⁴⁶⁹⁶⁰ 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 946960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339200).

946960 is an abundant number, since it is smaller than the sum of its proper divisors (1731440).

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

946960 is a wasteful number, since it uses less digits than its factorization.

946960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 946960 is about 973.1186977959. The cubic root of 946960 is about 98.1997867932.

The spelling of 946960 in words is "nine hundred forty-six thousand, nine hundred sixty".