5838080 has 36 divisors (see below), whose sum is σ = 13987092. Its totient is φ = 2334720.

The previous prime is 5838071. The next prime is 5838083. The reversal of 5838080 is 808385.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2027776 + 3810304 = 1424^2 + 1952^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5838083) 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, 1001 + ... + 3560.

Almost surely, 2^5838080 is an apocalyptic number.

It is an amenable number.

5838080 is an abundant number, since it is smaller than the sum of its proper divisors (8149012).

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

5838080 is an equidigital number, since it uses as much as digits as its factorization.

5838080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 5838080 is about 2416.2119112363. The cubic root of 5838080 is about 180.0625297158.

The spelling of 5838080 in words is "five million, eight hundred thirty-eight thousand, eighty".