966084 has 72 divisors (see below), whose sum is σ = 2757888. Its totient is φ = 262080.

The previous prime is 966041. The next prime is 966109. The reversal of 966084 is 480669.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18202 + ... + 18254.

It is an arithmetic number, because the mean of its divisors is an integer number (38304).

2⁹⁶⁶⁰⁸⁴ 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 966084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378944).

966084 is an abundant number, since it is smaller than the sum of its proper divisors (1791804).

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

966084 is a wasteful number, since it uses less digits than its factorization.

966084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 966084 is about 982.8957218342. The cubic root of 966084 is about 98.8564392027.

The spelling of 966084 in words is "nine hundred sixty-six thousand, eighty-four".