4002160 has 40 divisors (see below), whose sum is σ = 9798480. Its totient is φ = 1516032.

The previous prime is 4002143. The next prime is 4002169. The reversal of 4002160 is 612004.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 4002160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002169) 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, 204 + ... + 2836.

It is an arithmetic number, because the mean of its divisors is an integer number (244962).

Almost surely, 2^4002160 is an apocalyptic number.

4002160 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 4002160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4899240).

4002160 is an abundant number, since it is smaller than the sum of its proper divisors (5796320).

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

4002160 is a wasteful number, since it uses less digits than its factorization.

4002160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 4002160 is about 2000.5399271197. The cubic root of 4002160 is about 158.7686732741.

Adding to 4002160 its reverse (612004), we get a palindrome (4614164).

The spelling of 4002160 in words is "four million, two thousand, one hundred sixty".