5838880 has 24 divisors (see below), whose sum is σ = 13794732. Its totient is φ = 2335488.

The previous prime is 5838797. The next prime is 5838887. The reversal of 5838880 is 888385.

5838880 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 5071504 + 767376 = 2252^2 + 876^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5838887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18087 + ... + 18406.

Almost surely, 2^5838880 is an apocalyptic number.

It is an amenable number.

5838880 is an abundant number, since it is smaller than the sum of its proper divisors (7955852).

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

5838880 is a wasteful number, since it uses less digits than its factorization.

5838880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36508 (or 36500 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 5838880 is about 2416.3774539587. The cubic root of 5838880 is about 180.0707540775.

The spelling of 5838880 in words is "five million, eight hundred thirty-eight thousand, eight hundred eighty".