10468224 has 128 divisors (see below), whose sum is σ = 33415200. Its totient is φ = 3207168.

The previous prime is 10468223. The next prime is 10468261. The reversal of 10468224 is 42286401.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10468223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44812 + ... + 45044.

Almost surely, 2^10468224 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 10468224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16707600).

10468224 is an abundant number, since it is smaller than the sum of its proper divisors (22946976).

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

10468224 is a wasteful number, since it uses less digits than its factorization.

10468224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 10468224 is about 3235.4634907537. The cubic root of 10468224 is about 218.7548391855.

The spelling of 10468224 in words is "ten million, four hundred sixty-eight thousand, two hundred twenty-four".