5861760 has 128 divisors (see below), whose sum is σ = 19388160. Its totient is φ = 1505280.

The previous prime is 5861749. The next prime is 5861761. The reversal of 5861760 is 671685.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5861761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82525 + ... + 82595.

It is an arithmetic number, because the mean of its divisors is an integer number (151470).

Almost surely, 2^5861760 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 5861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9694080).

5861760 is an abundant number, since it is smaller than the sum of its proper divisors (13526400).

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

5861760 is a wasteful number, since it uses less digits than its factorization.

5861760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 5861760 is about 2421.1071847401. The cubic root of 5861760 is about 180.3056535231.

It can be divided in two parts, 586 and 1760, that added together give a triangular number (2346 = T₆₈).

The spelling of 5861760 in words is "five million, eight hundred sixty-one thousand, seven hundred sixty".