966504 has 64 divisors (see below), whose sum is σ = 3018240. Its totient is φ = 250560.

The previous prime is 966499. The next prime is 966509. The reversal of 966504 is 405669.

It is an interprime number because it is at equal distance from previous prime (966499) and next prime (966509).

It is not an unprimeable number, because it can be changed into a prime (966509) by changing a digit.

966504 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 15 ways as a sum of consecutive naturals, for example, 1587 + ... + 2109.

It is an arithmetic number, because the mean of its divisors is an integer number (47160).

2⁹⁶⁶⁵⁰⁴ 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 966504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509120).

966504 is an abundant number, since it is smaller than the sum of its proper divisors (2051736).

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

966504 is a wasteful number, since it uses less digits than its factorization.

966504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 966504 is about 983.1093530223. The cubic root of 966504 is about 98.8707629016.

The spelling of 966504 in words is "nine hundred sixty-six thousand, five hundred four".