5580600 has 96 divisors (see below), whose sum is σ = 17677440. Its totient is φ = 1456000.

The previous prime is 5580593. The next prime is 5580613. The reversal of 5580600 is 60855.

It is a super-2 number, since 2×5580600² = 62286192720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

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 23 ways as a sum of consecutive naturals, for example, 42535 + ... + 42665.

It is an arithmetic number, because the mean of its divisors is an integer number (184140).

Almost surely, 2^5580600 is an apocalyptic number.

5580600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5580600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838720).

5580600 is an abundant number, since it is smaller than the sum of its proper divisors (12096840).

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

5580600 is a wasteful number, since it uses less digits than its factorization.

5580600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5580600 is about 2362.3293589167. The cubic root of 5580600 is about 177.3754995489.

The spelling of 5580600 in words is "five million, five hundred eighty thousand, six hundred".