5188320 has 96 divisors (see below), whose sum is σ = 18174240. Its totient is φ = 1382400.

The previous prime is 5188319. The next prime is 5188333. The reversal of 5188320 is 238815.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3720 + ... + 4920.

It is an arithmetic number, because the mean of its divisors is an integer number (189315).

Almost surely, 2^5188320 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 5188320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9087120).

5188320 is an abundant number, since it is smaller than the sum of its proper divisors (12985920).

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

5188320 is a wasteful number, since it uses less digits than its factorization.

5188320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 5188320 is about 2277.7884010592. The cubic root of 5188320 is about 173.1180100746.

The spelling of 5188320 in words is "five million, one hundred eighty-eight thousand, three hundred twenty".