6038880 has 96 divisors (see below), whose sum is σ = 19885824. Its totient is φ = 1537536.

The previous prime is 6038867. The next prime is 6038897. The reversal of 6038880 is 888306.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10767 + ... + 11313.

It is an arithmetic number, because the mean of its divisors is an integer number (207144).

Almost surely, 2^6038880 is an apocalyptic number.

6038880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6038880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9942912).

6038880 is an abundant number, since it is smaller than the sum of its proper divisors (13846944).

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

6038880 is a wasteful number, since it uses less digits than its factorization.

6038880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 6038880 is about 2457.4132741564. The cubic root of 6038880 is about 182.1037125744.

The spelling of 6038880 in words is "six million, thirty-eight thousand, eight hundred eighty".