5609760 has 192 divisors, whose sum is σ = 20321280. Its totient is φ = 1290240.

The previous prime is 5609741. The next prime is 5609761. The reversal of 5609760 is 679065.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5609761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180945 + ... + 180975.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 2^5609760 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 5609760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160640).

5609760 is an abundant number, since it is smaller than the sum of its proper divisors (14711520).

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

5609760 is a wasteful number, since it uses less digits than its factorization.

5609760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 5609760 is about 2368.4931918838. The cubic root of 5609760 is about 177.6839064607.

The spelling of 5609760 in words is "five million, six hundred nine thousand, seven hundred sixty".