10556320 has 48 divisors (see below), whose sum is σ = 26413128. Its totient is φ = 3973120.

The previous prime is 10556317. The next prime is 10556321. The reversal of 10556320 is 2365501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9909904 + 646416 = 3148^2 + 804^2 .

It is a super-2 number, since 2×10556320² = 222871783884800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10556291 and 10556300.

It is not an unprimeable number, because it can be changed into a prime (10556321) 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, 780 + ... + 4660.

Almost surely, 2^10556320 is an apocalyptic number.

10556320 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 10556320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13206564).

10556320 is an abundant number, since it is smaller than the sum of its proper divisors (15856808).

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

10556320 is a wasteful number, since it uses less digits than its factorization.

10556320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3913 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 10556320 is about 3249.0490916574. The cubic root of 10556320 is about 219.3667741766.

The spelling of 10556320 in words is "ten million, five hundred fifty-six thousand, three hundred twenty".