946560 has 128 divisors (see below), whose sum is σ = 3304800. Its totient is φ = 229376.

The previous prime is 946549. The next prime is 946573. The reversal of 946560 is 65649.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

946560 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, 32626 + ... + 32654.

2⁹⁴⁶⁵⁶⁰ 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 946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652400).

946560 is an abundant number, since it is smaller than the sum of its proper divisors (2358240).

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

946560 is a wasteful number, since it uses less digits than its factorization.

946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 56 counting only the distinct ones).

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

The square root of 946560 is about 972.9131513141. The cubic root of 946560 is about 98.1859581743.

The spelling of 946560 in words is "nine hundred forty-six thousand, five hundred sixty".