4108160 has 96 divisors (see below), whose sum is σ = 11511720. Its totient is φ = 1397760.

The previous prime is 4108141. The next prime is 4108163. The reversal of 4108160 is 618014.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4108163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31295 + ... + 31425.

Almost surely, 2^4108160 is an apocalyptic number.

4108160 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 4108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5755860).

4108160 is an abundant number, since it is smaller than the sum of its proper divisors (7403560).

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

4108160 is a wasteful number, since it uses less digits than its factorization.

4108160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 4108160 is about 2026.8596399356. The cubic root of 4108160 is about 160.1581769072.

The spelling of 4108160 in words is "four million, one hundred eight thousand, one hundred sixty".