4092160 has 72 divisors (see below), whose sum is σ = 10301760. Its totient is φ = 1554432.

The previous prime is 4092157. The next prime is 4092167. The reversal of 4092160 is 612904.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (4092167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29371 + ... + 29509.

It is an arithmetic number, because the mean of its divisors is an integer number (143080).

Almost surely, 2^4092160 is an apocalyptic number.

4092160 is a gapful number since it is divisible by the number (40) 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 4092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150880).

4092160 is an abundant number, since it is smaller than the sum of its proper divisors (6209600).

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

4092160 is a wasteful number, since it uses less digits than its factorization.

4092160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 4092160 is about 2022.9087967578. The cubic root of 4092160 is about 159.9499843669.

It can be divided in two parts, 40 and 92160, that multiplied together give a square (3686400 = 1920²).

The spelling of 4092160 in words is "four million, ninety-two thousand, one hundred sixty".