6268224 has 28 divisors (see below), whose sum is σ = 16585184. Its totient is φ = 2089344.

The previous prime is 6268201. The next prime is 6268247. The reversal of 6268224 is 4228626.

It is an interprime number because it is at equal distance from previous prime (6268201) and next prime (6268247).

It is a super-2 number, since 2×6268224² = 78581264228352, which contains 22 as substring.

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

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 6268191 and 6268200.

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 3 ways as a sum of consecutive naturals, for example, 16132 + ... + 16515.

It is an arithmetic number, because the mean of its divisors is an integer number (592328).

Almost surely, 2^6268224 is an apocalyptic number.

6268224 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6268224 is an abundant number, since it is smaller than the sum of its proper divisors (10316960).

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

6268224 is a wasteful number, since it uses less digits than its factorization.

6268224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32662 (or 32652 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 6268224 is about 2503.6421469531. The cubic root of 6268224 is about 184.3804353085.

It can be divided in two parts, 62 and 68224, that added together give a palindrome (68286).

The spelling of 6268224 in words is "six million, two hundred sixty-eight thousand, two hundred twenty-four".