3166080 has 128 divisors (see below), whose sum is σ = 10795680. Its totient is φ = 786432.

The previous prime is 3166067. The next prime is 3166099. The reversal of 3166080 is 806613.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3166080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32592 + ... + 32688.

Almost surely, 2^3166080 is an apocalyptic number.

3166080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397840).

3166080 is an abundant number, since it is smaller than the sum of its proper divisors (7629600).

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

3166080 is a wasteful number, since it uses less digits than its factorization.

3166080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 3166080 is about 1779.3481952670. The cubic root of 3166080 is about 146.8387328593.

The spelling of 3166080 in words is "three million, one hundred sixty-six thousand, eighty".