6364224 has 112 divisors (see below), whose sum is σ = 19507200. Its totient is φ = 2032128.

The previous prime is 6364217. The next prime is 6364231. The reversal of 6364224 is 4224636.

6364224 = 52³ + 53³ + ... + 75³.

6364224 is a `hidden beast` number, since 636 + 4 + 2 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (6364217) and next prime (6364231).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50049 + ... + 50175.

Almost surely, 2^6364224 is an apocalyptic number.

6364224 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 6364224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9753600).

6364224 is an abundant number, since it is smaller than the sum of its proper divisors (13142976).

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

6364224 is a wasteful number, since it uses less digits than its factorization.

6364224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 161 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 6364224 is about 2522.7413660540. The cubic root of 6364224 is about 185.3169536214.

The spelling of 6364224 in words is "six million, three hundred sixty-four thousand, two hundred twenty-four".