5378560 has 80 divisors (see below), whose sum is σ = 14141952. Its totient is φ = 1945600.

The previous prime is 5378551. The next prime is 5378561. The reversal of 5378560 is 658735.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5378561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28065 + ... + 28255.

Almost surely, 2^5378560 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 5378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7070976).

5378560 is an abundant number, since it is smaller than the sum of its proper divisors (8763392).

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

5378560 is a wasteful number, since it uses less digits than its factorization.

5378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 5378560 is about 2319.1722661329. The cubic root of 5378560 is about 175.2085676537.

The spelling of 5378560 in words is "five million, three hundred seventy-eight thousand, five hundred sixty".