5807160 has 128 divisors (see below), whose sum is σ = 20448000. Its totient is φ = 1461888.

The previous prime is 5807159. The next prime is 5807167. The reversal of 5807160 is 617085.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5807167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20379 + ... + 20661.

It is an arithmetic number, because the mean of its divisors is an integer number (159750).

Almost surely, 2^5807160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5807160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10224000).

5807160 is an abundant number, since it is smaller than the sum of its proper divisors (14640840).

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

5807160 is a wasteful number, since it uses less digits than its factorization.

5807160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 5807160 is about 2409.8049713618. The cubic root of 5807160 is about 179.7440807577.

The spelling of 5807160 in words is "five million, eight hundred seven thousand, one hundred sixty".