5881680 has 160 divisors (see below), whose sum is σ = 23212800. Its totient is φ = 1340928.

The previous prime is 5881657. The next prime is 5881699. The reversal of 5881680 is 861885.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14926 + ... + 15314.

It is an arithmetic number, because the mean of its divisors is an integer number (145080).

Almost surely, 2^5881680 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 5881680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11606400).

5881680 is an abundant number, since it is smaller than the sum of its proper divisors (17331120).

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

5881680 is a wasteful number, since it uses less digits than its factorization.

5881680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 5881680 is about 2425.2175160179. The cubic root of 5881680 is about 180.5096666375.

It can be divided in two parts, 5881 and 680, that added together give a 8-th power (6561 = 3⁸).

The spelling of 5881680 in words is "five million, eight hundred eighty-one thousand, six hundred eighty".