5138080 has 48 divisors (see below), whose sum is σ = 12859560. Its totient is φ = 1933312.

The previous prime is 5138071. The next prime is 5138083. The reversal of 5138080 is 808315.

It can be written as a sum of positive squares in 4 ways, for example, as 4613904 + 524176 = 2148^2 + 724^2 .

It is not an unprimeable number, because it can be changed into a prime (5138083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1776 + ... + 3664.

Almost surely, 2^5138080 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 5138080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6429780).

5138080 is an abundant number, since it is smaller than the sum of its proper divisors (7721480).

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

5138080 is a wasteful number, since it uses less digits than its factorization.

5138080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1921 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 5138080 is about 2266.7333323530. The cubic root of 5138080 is about 172.5574128014.

The spelling of 5138080 in words is "five million, one hundred thirty-eight thousand, eighty".