10580220 has 144 divisors (see below), whose sum is σ = 38158848. Its totient is φ = 2410560.

The previous prime is 10580209. The next prime is 10580221. The reversal of 10580220 is 2208501.

10580220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10580220² = 223882110496800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10580193 and 10580202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10580221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33865 + ... + 34175.

It is an arithmetic number, because the mean of its divisors is an integer number (264992).

Almost surely, 2^10580220 is an apocalyptic number.

10580220 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 10580220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19079424).

10580220 is an abundant number, since it is smaller than the sum of its proper divisors (27578628).

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

10580220 is a wasteful number, since it uses less digits than its factorization.

10580220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

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

The square root of 10580220 is about 3252.7250114327. The cubic root of 10580220 is about 219.5322015912.

Adding to 10580220 its reverse (2208501), we get a palindrome (12788721).

The spelling of 10580220 in words is "ten million, five hundred eighty thousand, two hundred twenty".