4087160 has 64 divisors (see below), whose sum is σ = 11473920. Its totient is φ = 1272960.

The previous prime is 4087151. The next prime is 4087163. The reversal of 4087160 is 617804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4087163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2417 + ... + 3743.

It is an arithmetic number, because the mean of its divisors is an integer number (179280).

Almost surely, 2^4087160 is an apocalyptic number.

4087160 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 4087160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736960).

4087160 is an abundant number, since it is smaller than the sum of its proper divisors (7386760).

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

4087160 is a wasteful number, since it uses less digits than its factorization.

4087160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 4087160 is about 2021.6725748746. The cubic root of 4087160 is about 159.8848129278.

The spelling of 4087160 in words is "four million, eighty-seven thousand, one hundred sixty".