966560 has 48 divisors (see below), whose sum is σ = 2612736. Its totient is φ = 331008.

The previous prime is 966557. The next prime is 966583. The reversal of 966560 is 65669.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 689 + ... + 1551.

It is an arithmetic number, because the mean of its divisors is an integer number (54432).

2⁹⁶⁶⁵⁶⁰ 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 966560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306368).

966560 is an abundant number, since it is smaller than the sum of its proper divisors (1646176).

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

966560 is a wasteful number, since it uses less digits than its factorization.

966560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 966560 is about 983.1378336734. The cubic root of 966560 is about 98.8726724146.

The spelling of 966560 in words is "nine hundred sixty-six thousand, five hundred sixty".