10530624 has 56 divisors (see below), whose sum is σ = 30012640. Its totient is φ = 3239424.

The previous prime is 10530601. The next prime is 10530629. The reversal of 10530624 is 42603501.

It is a happy number.

It is a super-2 number, since 2×10530624² = 221788083658752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10530624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10530629) 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, 387 + ... + 4605.

It is an arithmetic number, because the mean of its divisors is an integer number (535940).

Almost surely, 2^10530624 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 10530624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15006320).

10530624 is an abundant number, since it is smaller than the sum of its proper divisors (19482016).

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

10530624 is a wasteful number, since it uses less digits than its factorization.

10530624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247 (or 4237 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 10530624 is about 3245.0922945272. The cubic root of 10530624 is about 219.1886367029.

The spelling of 10530624 in words is "ten million, five hundred thirty thousand, six hundred twenty-four".