966756 has 48 divisors (see below), whose sum is σ = 2733696. Its totient is φ = 259584.

The previous prime is 966751. The next prime is 966781. The reversal of 966756 is 657669.

It is a happy number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 966756.

It is not an unprimeable number, because it can be changed into a prime (966751) by changing a digit.

966756 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, 1090 + ... + 1766.

It is an arithmetic number, because the mean of its divisors is an integer number (56952).

2⁹⁶⁶⁷⁵⁶ 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 966756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366848).

966756 is an abundant number, since it is smaller than the sum of its proper divisors (1766940).

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

966756 is a wasteful number, since it uses less digits than its factorization.

966756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 706 counting only the distinct ones).

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

The square root of 966756 is about 983.2375094554. The cubic root of 966756 is about 98.8793551293.

The spelling of 966756 in words is "nine hundred sixty-six thousand, seven hundred fifty-six".