5968080 has 120 divisors (see below), whose sum is σ = 20852832. Its totient is φ = 1586304.

The previous prime is 5968051. The next prime is 5968087. The reversal of 5968080 is 808695.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5968087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19287 + ... + 19593.

Almost surely, 2^5968080 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 5968080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10426416).

5968080 is an abundant number, since it is smaller than the sum of its proper divisors (14884752).

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

5968080 is a wasteful number, since it uses less digits than its factorization.

5968080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 5968080 is about 2442.9654111346. The cubic root of 5968080 is about 181.3892501046.

The spelling of 5968080 in words is "five million, nine hundred sixty-eight thousand, eighty".