3166632 has 96 divisors (see below), whose sum is σ = 10058880. Its totient is φ = 881280.

The previous prime is 3166627. The next prime is 3166637. The reversal of 3166632 is 2366613.

It is an interprime number because it is at equal distance from previous prime (3166627) and next prime (3166637).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3166596 and 3166605.

It is not an unprimeable number, because it can be changed into a prime (3166637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30693 + ... + 30795.

It is an arithmetic number, because the mean of its divisors is an integer number (104780).

Almost surely, 2^3166632 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 3166632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029440).

3166632 is an abundant number, since it is smaller than the sum of its proper divisors (6892248).

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

3166632 is a wasteful number, since it uses less digits than its factorization.

3166632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 176 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 3166632 is about 1779.5033014861. The cubic root of 3166632 is about 146.8472660476.

The spelling of 3166632 in words is "three million, one hundred sixty-six thousand, six hundred thirty-two".