10561320 has 256 divisors, whose sum is σ = 44236800. Its totient is φ = 2177280.

The previous prime is 10561279. The next prime is 10561339. The reversal of 10561320 is 2316501.

It is a super-2 number, since 2×10561320² = 223082960284800, which contains 22 as substring.

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

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 10561293 and 10561302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83097 + ... + 83223.

It is an arithmetic number, because the mean of its divisors is an integer number (172800).

Almost surely, 2^10561320 is an apocalyptic number.

10561320 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 10561320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22118400).

10561320 is an abundant number, since it is smaller than the sum of its proper divisors (33675480).

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

10561320 is a wasteful number, since it uses less digits than its factorization.

10561320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10561320 is about 3249.8184564680. The cubic root of 10561320 is about 219.4014030607.

Adding to 10561320 its reverse (2316501), we get a palindrome (12877821).

It can be divided in two parts, 105 and 61320, that added together give a triangular number (61425 = T₃₅₀).

The spelling of 10561320 in words is "ten million, five hundred sixty-one thousand, three hundred twenty".