946880 has 56 divisors (see below), whose sum is σ = 2468880. Its totient is φ = 343040.

The previous prime is 946877. The next prime is 946901. The reversal of 946880 is 88649.

It is a self number, because there is not a number n which added to its sum of digits gives 946880.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3386 + ... + 3654.

2⁹⁴⁶⁸⁸⁰ 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 946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234440).

946880 is an abundant number, since it is smaller than the sum of its proper divisors (1522000).

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

946880 is a wasteful number, since it uses less digits than its factorization.

946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 946880 is about 973.0775919730. The cubic root of 946880 is about 98.1970213810.

The spelling of 946880 in words is "nine hundred forty-six thousand, eight hundred eighty".