966000 has 160 divisors (see below), whose sum is σ = 3714048. Its totient is φ = 211200.

The previous prime is 965989. The next prime is 966011. The reversal of 966000 is 669.

966000 = 158² + 159² + ... + 189².

It is an interprime number because it is at equal distance from previous prime (965989) and next prime (966011).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 10.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 966000.

It is an unprimeable number.

966000 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 31 ways as a sum of consecutive naturals, for example, 41989 + ... + 42011.

2⁹⁶⁶⁰⁰⁰ 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 966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857024).

966000 is an abundant number, since it is smaller than the sum of its proper divisors (2748048).

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

966000 is a wasteful number, since it uses less digits than its factorization.

966000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 966000 is about 982.8529900244. The cubic root of 966000 is about 98.8535739648.

Adding to 966000 its reverse (669), we get a palindrome (966669).

The spelling of 966000 in words is "nine hundred sixty-six thousand".