5193760 has 96 divisors (see below), whose sum is σ = 14478912. Its totient is φ = 1735680.

The previous prime is 5193751. The next prime is 5193763. The reversal of 5193760 is 673915.

It is not an unprimeable number, because it can be changed into a prime (5193763) 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 15 ways as a sum of consecutive naturals, for example, 22767 + ... + 22993.

It is an arithmetic number, because the mean of its divisors is an integer number (150822).

Almost surely, 2^5193760 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 5193760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7239456).

5193760 is an abundant number, since it is smaller than the sum of its proper divisors (9285152).

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

5193760 is a wasteful number, since it uses less digits than its factorization.

5193760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 31.

The square root of 5193760 is about 2278.9822289785. The cubic root of 5193760 is about 173.1784942016.

The spelling of 5193760 in words is "five million, one hundred ninety-three thousand, seven hundred sixty".