10540224 has 84 divisors (see below), whose sum is σ = 31302960. Its totient is φ = 3386880.

The previous prime is 10540219. The next prime is 10540237. The reversal of 10540224 is 42204501.

It is a super-2 number, since 2×10540224² = 222192643940352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10540197 and 10540206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16389 + ... + 17019.

Almost surely, 2^10540224 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 10540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15651480).

10540224 is an abundant number, since it is smaller than the sum of its proper divisors (20762736).

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

10540224 is a wasteful number, since it uses less digits than its factorization.

10540224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 10540224 is about 3246.5711142681. The cubic root of 10540224 is about 219.2552225582.

Adding to 10540224 its reverse (42204501), we get a palindrome (52744725).

The spelling of 10540224 in words is "ten million, five hundred forty thousand, two hundred twenty-four".