5785960 has 32 divisors (see below), whose sum is σ = 13190400. Its totient is φ = 2283840.

The previous prime is 5785891. The next prime is 5785973. The reversal of 5785960 is 695875.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2245 + ... + 4075.

It is an arithmetic number, because the mean of its divisors is an integer number (412200).

Almost surely, 2^5785960 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 5785960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6595200).

5785960 is an abundant number, since it is smaller than the sum of its proper divisors (7404440).

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

5785960 is a wasteful number, since it uses less digits than its factorization.

5785960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The square root of 5785960 is about 2405.4022532624. The cubic root of 5785960 is about 179.5250855297.

The spelling of 5785960 in words is "five million, seven hundred eighty-five thousand, nine hundred sixty".