966006 has 40 divisors (see below), whose sum is σ = 2221560. Its totient is φ = 313632.

The previous prime is 965989. The next prime is 966011. The reversal of 966006 is 600669.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

966006 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 19 ways as a sum of consecutive naturals, for example, 10810 + ... + 10898.

It is an arithmetic number, because the mean of its divisors is an integer number (55539).

2⁹⁶⁶⁰⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 966006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110780).

966006 is an abundant number, since it is smaller than the sum of its proper divisors (1255554).

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

966006 is a wasteful number, since it uses less digits than its factorization.

966006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 966006 is about 982.8560423582. The cubic root of 966006 is about 98.8537786301.

966006 divided by its sum of digits (27) gives a triangular number (35778 = T₂₆₇).

The spelling of 966006 in words is "nine hundred sixty-six thousand, six".