5580120 has 192 divisors, whose sum is σ = 21258720. Its totient is φ = 1161216.

The previous prime is 5580101. The next prime is 5580121. The reversal of 5580120 is 210855.

It is a super-2 number, since 2×5580120² = 62275478428800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5580121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76404 + ... + 76476.

Almost surely, 2^5580120 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 5580120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10629360).

5580120 is an abundant number, since it is smaller than the sum of its proper divisors (15678600).

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

5580120 is a wasteful number, since it uses less digits than its factorization.

5580120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 5580120 is about 2362.2277620924. The cubic root of 5580120 is about 177.3704139141.

Adding to 5580120 its reverse (210855), we get a palindrome (5790975).

The spelling of 5580120 in words is "five million, five hundred eighty thousand, one hundred twenty".