8102560 has 48 divisors (see below), whose sum is σ = 19391400. Its totient is φ = 3198976.

The previous prime is 8102537. The next prime is 8102561. The reversal of 8102560 is 652018.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3825936 + 4276624 = 1956^2 + 2068^2 .

It is not an unprimeable number, because it can be changed into a prime (8102561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13956 + ... + 14524.

Almost surely, 2^8102560 is an apocalyptic number.

8102560 is a gapful number since it is divisible by the number (80) 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 8102560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9695700).

8102560 is an abundant number, since it is smaller than the sum of its proper divisors (11288840).

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

8102560 is a wasteful number, since it uses less digits than its factorization.

8102560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 8102560 is about 2846.4996047778. The cubic root of 8102560 is about 200.8510401832.

Adding to 8102560 its reverse (652018), we get a palindrome (8754578).

It can be divided in two parts, 810 and 2560, that multiplied together give a square (2073600 = 1440²).

The spelling of 8102560 in words is "eight million, one hundred two thousand, five hundred sixty".