10220580 has 84 divisors (see below), whose sum is σ = 32226012. Its totient is φ = 2721600.

The previous prime is 10220563. The next prime is 10220591. The reversal of 10220580 is 8502201.

10220580 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6441444 + 3779136 = 2538^2 + 1944^2 .

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 14230 + ... + 14930.

It is an arithmetic number, because the mean of its divisors is an integer number (383643).

Almost surely, 2^10220580 is an apocalyptic number.

10220580 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 10220580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16113006).

10220580 is an abundant number, since it is smaller than the sum of its proper divisors (22005432).

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

10220580 is an equidigital number, since it uses as much as digits as its factorization.

10220580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10220580 is about 3196.9641849730. The cubic root of 10220580 is about 217.0160464395.

Adding to 10220580 its reverse (8502201), we get a palindrome (18722781).

The spelling of 10220580 in words is "ten million, two hundred twenty thousand, five hundred eighty".