966576 has 40 divisors (see below), whose sum is σ = 2690800. Its totient is φ = 297216.

The previous prime is 966557. The next prime is 966583. The reversal of 966576 is 675669.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 966576.

It is an unprimeable number.

966576 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151 + ... + 1398.

It is an arithmetic number, because the mean of its divisors is an integer number (67270).

2⁹⁶⁶⁵⁷⁶ 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 966576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1345400).

966576 is an abundant number, since it is smaller than the sum of its proper divisors (1724224).

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

966576 is a wasteful number, since it uses less digits than its factorization.

966576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1567 counting only the distinct ones).

The product of its digits is 68040, while the sum is 39.

The square root of 966576 is about 983.1459708507. The cubic root of 966576 is about 98.8732179762.

The spelling of 966576 in words is "nine hundred sixty-six thousand, five hundred seventy-six".