6413872 has 40 divisors (see below), whose sum is σ = 13436640. Its totient is φ = 2956800.

The previous prime is 6413863. The next prime is 6413873. The reversal of 6413872 is 2783146.

It is a super-2 number, since 2×6413872² = 82275508064768, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6413873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10372 + ... + 10972.

It is an arithmetic number, because the mean of its divisors is an integer number (335916).

Almost surely, 2^6413872 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 6413872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6718320).

6413872 is an abundant number, since it is smaller than the sum of its proper divisors (7022768).

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

6413872 is a wasteful number, since it uses less digits than its factorization.

6413872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 655 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 6413872 is about 2532.5623388181. The cubic root of 6413872 is about 185.7975984608.

The spelling of 6413872 in words is "six million, four hundred thirteen thousand, eight hundred seventy-two".