4090160 has 80 divisors (see below), whose sum is σ = 10311840. Its totient is φ = 1505280.

The previous prime is 4090153. The next prime is 4090193. The reversal of 4090160 is 610904.

4090160 is digitally balanced in base 2, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95099 + ... + 95141.

It is an arithmetic number, because the mean of its divisors is an integer number (128898).

Almost surely, 2^4090160 is an apocalyptic number.

4090160 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 4090160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5155920).

4090160 is an abundant number, since it is smaller than the sum of its proper divisors (6221680).

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

4090160 is a wasteful number, since it uses less digits than its factorization.

4090160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 4090160 is about 2022.4143986829. The cubic root of 4090160 is about 159.9239221651.

The spelling of 4090160 in words is "four million, ninety thousand, one hundred sixty".