966744 has 48 divisors (see below), whose sum is σ = 2714400. Its totient is φ = 310464.

The previous prime is 966727. The next prime is 966751. The reversal of 966744 is 447669.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

Its product of digits (36288) is a multiple of the sum of its prime factors (504).

It is a junction number, because it is equal to n+sod(n) for n = 966699 and 966708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1857 + ... + 2319.

It is an arithmetic number, because the mean of its divisors is an integer number (56550).

2⁹⁶⁶⁷⁴⁴ 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 966744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357200).

966744 is an abundant number, since it is smaller than the sum of its proper divisors (1747656).

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

966744 is a wasteful number, since it uses less digits than its factorization.

966744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 497 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 966744 is about 983.2314071469. The cubic root of 966744 is about 98.8789460094.

The spelling of 966744 in words is "nine hundred sixty-six thousand, seven hundred forty-four".