5838160 has 20 divisors (see below), whose sum is σ = 13573908. Its totient is φ = 2335232.

The previous prime is 5838101. The next prime is 5838163. The reversal of 5838160 is 618385.

5838160 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1411344 + 4426816 = 1188^2 + 2104^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×5838160² = 68168224371200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5838163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36409 + ... + 36568.

Almost surely, 2^5838160 is an apocalyptic number.

It is an amenable number.

5838160 is an abundant number, since it is smaller than the sum of its proper divisors (7735748).

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

5838160 is a wasteful number, since it uses less digits than its factorization.

5838160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72990 (or 72984 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 5838160 is about 2416.2284660189. The cubic root of 5838160 is about 180.0633521858.

The spelling of 5838160 in words is "five million, eight hundred thirty-eight thousand, one hundred sixty".