966264 has 64 divisors (see below), whose sum is σ = 2755200. Its totient is φ = 279936.

The previous prime is 966257. The next prime is 966271. The reversal of 966264 is 462669.

It is an interprime number because it is at equal distance from previous prime (966257) and next prime (966271).

It is a super-2 number, since 2×966264² = 1867332235392, which contains 22 as substring.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable 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 15 ways as a sum of consecutive naturals, for example, 5847 + ... + 6009.

It is an arithmetic number, because the mean of its divisors is an integer number (43050).

2⁹⁶⁶²⁶⁴ 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 966264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377600).

966264 is an abundant number, since it is smaller than the sum of its proper divisors (1788936).

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

966264 is a wasteful number, since it uses less digits than its factorization.

966264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 200 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 966264 is about 982.9872837428. The cubic root of 966264 is about 98.8625784391.

The spelling of 966264 in words is "nine hundred sixty-six thousand, two hundred sixty-four".