5785560 has 128 divisors (see below), whose sum is σ = 21081600. Its totient is φ = 1399680.

The previous prime is 5785553. The next prime is 5785589. The reversal of 5785560 is 655875.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11637 + ... + 12123.

It is an arithmetic number, because the mean of its divisors is an integer number (164700).

Almost surely, 2^5785560 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 5785560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10540800).

5785560 is an abundant number, since it is smaller than the sum of its proper divisors (15296040).

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

5785560 is a wasteful number, since it uses less digits than its factorization.

5785560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 508 counting only the distinct ones).

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

The square root of 5785560 is about 2405.3191056490. The cubic root of 5785560 is about 179.5209484064.

The spelling of 5785560 in words is "five million, seven hundred eighty-five thousand, five hundred sixty".