10530320 has 80 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 3919872.

The previous prime is 10530307. The next prime is 10530329. The reversal of 10530320 is 2303501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10530320² = 221775278604800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10530295 and 10530304.

It is not an unprimeable number, because it can be changed into a prime (10530329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108512 + ... + 108608.

It is an arithmetic number, because the mean of its divisors is an integer number (328104).

Almost surely, 2^10530320 is an apocalyptic number.

10530320 is a gapful number since it is divisible by the number (10) 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 10530320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

10530320 is an abundant number, since it is smaller than the sum of its proper divisors (15718000).

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

10530320 is a wasteful number, since it uses less digits than its factorization.

10530320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 10530320 is about 3245.0454542271. The cubic root of 10530320 is about 219.1865274899.

Adding to 10530320 its reverse (2303501), we get a palindrome (12833821).

The spelling of 10530320 in words is "ten million, five hundred thirty thousand, three hundred twenty".