10322560 has 48 divisors (see below), whose sum is σ = 24873210. Its totient is φ = 4096512.

The previous prime is 10322551. The next prime is 10322569. The reversal of 10322560 is 6522301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10322551) and next prime (10322569).

It can be written as a sum of positive squares in only one way, i.e., 9290304 + 1032256 = 3048^2 + 1016^2 .

It is not an unprimeable number, because it can be changed into a prime (10322569) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 81217 + ... + 81343.

Almost surely, 2^10322560 is an apocalyptic number.

10322560 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 10322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12436605).

10322560 is an abundant number, since it is smaller than the sum of its proper divisors (14550650).

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

10322560 is an frugal number, since it uses more digits than its factorization.

10322560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 10322560 is about 3212.8741027311. The cubic root of 10322560 is about 217.7354476784.

Multiplying 10322560 by its product of nonzero digits (360), we get a square (3716121600 = 60960²).

Adding to 10322560 its reverse (6522301), we get a palindrome (16844861).

It can be divided in two parts, 103225 and 60, that added together give a triangular number (103285 = T₄₅₄).

The spelling of 10322560 in words is "ten million, three hundred twenty-two thousand, five hundred sixty".