5578560 has 168 divisors, whose sum is σ = 20802600. Its totient is φ = 1363968.

The previous prime is 5578553. The next prime is 5578577. The reversal of 5578560 is 658755.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 5531904 = 216^2 + 2352^2 .

It is a super-2 number, since 2×5578560² = 62240663347200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37366 + ... + 37514.

It is an arithmetic number, because the mean of its divisors is an integer number (123825).

Almost surely, 2^5578560 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 5578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10401300).

5578560 is an abundant number, since it is smaller than the sum of its proper divisors (15224040).

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

5578560 is a wasteful number, since it uses less digits than its factorization.

5578560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 5578560 is about 2361.8975422317. The cubic root of 5578560 is about 177.3538835865.

The spelling of 5578560 in words is "five million, five hundred seventy-eight thousand, five hundred sixty".