5801680 has 40 divisors (see below), whose sum is σ = 13784832. Its totient is φ = 2269824.

The previous prime is 5801671. The next prime is 5801683. The reversal of 5801680 is 861085.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5801683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2989 + ... + 4531.

Almost surely, 2^5801680 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 5801680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6892416).

5801680 is an abundant number, since it is smaller than the sum of its proper divisors (7983152).

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

5801680 is a wasteful number, since it uses less digits than its factorization.

5801680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 5801680 is about 2408.6676815202. The cubic root of 5801680 is about 179.6875237051.

The spelling of 5801680 in words is "five million, eight hundred one thousand, six hundred eighty".