966456 has 48 divisors (see below), whose sum is σ = 2708160. Its totient is φ = 311040.

The previous prime is 966439. The next prime is 966463. The reversal of 966456 is 654669.

It is a happy number.

966456 is a `hidden beast` number, since 9 + 6 + 645 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 966456.

It is a congruent number.

It is an unprimeable number.

966456 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 11 ways as a sum of consecutive naturals, for example, 2016 + ... + 2448.

It is an arithmetic number, because the mean of its divisors is an integer number (56420).

2⁹⁶⁶⁴⁵⁶ 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 966456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354080).

966456 is an abundant number, since it is smaller than the sum of its proper divisors (1741704).

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

966456 is a wasteful number, since it uses less digits than its factorization.

966456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 469 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 966456 is about 983.0849403790. The cubic root of 966456 is about 98.8691261175.

The spelling of 966456 in words is "nine hundred sixty-six thousand, four hundred fifty-six".