6488112 has 80 divisors (see below), whose sum is σ = 17856000. Its totient is φ = 2026752.

The previous prime is 6488107. The next prime is 6488123. The reversal of 6488112 is 2118846.

6488112 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 6488112.

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, 82089 + ... + 82167.

It is an arithmetic number, because the mean of its divisors is an integer number (223200).

Almost surely, 2^6488112 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 6488112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928000).

6488112 is an abundant number, since it is smaller than the sum of its proper divisors (11367888).

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

6488112 is a wasteful number, since it uses less digits than its factorization.

6488112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its digits is 3072, while the sum is 30.

The square root of 6488112 is about 2547.1772612050. The cubic root of 6488112 is about 186.5117138121.

The spelling of 6488112 in words is "six million, four hundred eighty-eight thousand, one hundred twelve".