10852224 has 64 divisors (see below), whose sum is σ = 29376000. Its totient is φ = 3548672.

The previous prime is 10852223. The next prime is 10852229. The reversal of 10852224 is 42225801.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10852194 and 10852203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10852223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22417 + ... + 22895.

It is an arithmetic number, because the mean of its divisors is an integer number (459000).

Almost surely, 2^10852224 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 10852224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688000).

10852224 is an abundant number, since it is smaller than the sum of its proper divisors (18523776).

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

10852224 is an equidigital number, since it uses as much as digits as its factorization.

10852224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 10852224 is about 3294.2713913702. The cubic root of 10852224 is about 221.3976039543.

The spelling of 10852224 in words is "ten million, eight hundred fifty-two thousand, two hundred twenty-four".