5735580 has 48 divisors (see below), whose sum is σ = 16225440. Its totient is φ = 1513728.

The previous prime is 5735519. The next prime is 5735581. The reversal of 5735580 is 855375.

5735580 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5735581) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6102 + ... + 6978.

It is an arithmetic number, because the mean of its divisors is an integer number (338030).

Almost surely, 2^5735580 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 5735580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8112720).

5735580 is an abundant number, since it is smaller than the sum of its proper divisors (10489860).

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

5735580 is a wasteful number, since it uses less digits than its factorization.

5735580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 5735580 is about 2394.9070963192. The cubic root of 5735580 is about 179.0025071692.

The spelling of 5735580 in words is "five million, seven hundred thirty-five thousand, five hundred eighty".