6412224 has 112 divisors (see below), whose sum is σ = 20937728. Its totient is φ = 1686528.

The previous prime is 6412207. The next prime is 6412249. The reversal of 6412224 is 4222146.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×6412224² = 82233233252352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is a self number, because there is not a number n which added to its sum of digits gives 6412224.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17289 + ... + 17655.

It is an arithmetic number, because the mean of its divisors is an integer number (186944).

Almost surely, 2^6412224 is an apocalyptic number.

6412224 is a gapful number since it is divisible by the number (64) 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 6412224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10468864).

6412224 is an abundant number, since it is smaller than the sum of its proper divisors (14525504).

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

6412224 is a wasteful number, since it uses less digits than its factorization.

6412224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 392 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 6412224 is about 2532.2369557370. The cubic root of 6412224 is about 185.7816839622.

It can be divided in two parts, 64122 and 24, that added together give a palindrome (64146).

The spelling of 6412224 in words is "six million, four hundred twelve thousand, two hundred twenty-four".