6493872 has 120 divisors (see below), whose sum is σ = 21373632. Its totient is φ = 1680000.

The previous prime is 6493853. The next prime is 6493909. The reversal of 6493872 is 2783946.

It is a self number, because there is not a number n which added to its sum of digits gives 6493872.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25747 + ... + 25997.

Almost surely, 2^6493872 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 6493872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10686816).

6493872 is an abundant number, since it is smaller than the sum of its proper divisors (14879760).

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

6493872 is a wasteful number, since it uses less digits than its factorization.

6493872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 274 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 6493872 is about 2548.3076737317. The cubic root of 6493872 is about 186.5668911227.

The spelling of 6493872 in words is "six million, four hundred ninety-three thousand, eight hundred seventy-two".