3167120 has 80 divisors (see below), whose sum is σ = 8303040. Its totient is φ = 1113600.

The previous prime is 3167113. The next prime is 3167137. The reversal of 3167120 is 217613.

It is a happy number.

3167120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3167092 and 3167101.

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, 51890 + ... + 51950.

It is an arithmetic number, because the mean of its divisors is an integer number (103788).

Almost surely, 2^3167120 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 3167120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151520).

3167120 is an abundant number, since it is smaller than the sum of its proper divisors (5135920).

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

3167120 is a wasteful number, since it uses less digits than its factorization.

3167120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 3167120 is about 1779.6404131172. The cubic root of 3167120 is about 146.8548090549.

The spelling of 3167120 in words is "three million, one hundred sixty-seven thousand, one hundred twenty".