5138760 has 128 divisors (see below), whose sum is σ = 17884800. Its totient is φ = 1167360.

The previous prime is 5138753. The next prime is 5138789. The reversal of 5138760 is 678315.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22326 + ... + 22554.

It is an arithmetic number, because the mean of its divisors is an integer number (139725).

Almost surely, 2^5138760 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 5138760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8942400).

5138760 is an abundant number, since it is smaller than the sum of its proper divisors (12746040).

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

5138760 is a wasteful number, since it uses less digits than its factorization.

5138760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 5138760 is about 2266.8833229789. The cubic root of 5138760 is about 172.5650248448.

The spelling of 5138760 in words is "five million, one hundred thirty-eight thousand, seven hundred sixty".