5580960 has 192 divisors, whose sum is σ = 22063104. Its totient is φ = 1152000.

The previous prime is 5580931. The next prime is 5580977. The reversal of 5580960 is 690855.

It is a super-2 number, since 2×5580960² = 62294229043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a plaindrome in base 9.

It is a zygodrome in base 9.

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, 36885 + ... + 37035.

It is an arithmetic number, because the mean of its divisors is an integer number (114912).

Almost surely, 2^5580960 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 5580960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031552).

5580960 is an abundant number, since it is smaller than the sum of its proper divisors (16482144).

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

5580960 is a wasteful number, since it uses less digits than its factorization.

5580960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 5580960 is about 2362.4055536677. The cubic root of 5580960 is about 177.3793135836.

The spelling of 5580960 in words is "five million, five hundred eighty thousand, nine hundred sixty".