10668580 has 48 divisors (see below), whose sum is σ = 24801840. Its totient is φ = 3829248.

The previous prime is 10668563. The next prime is 10668583. The reversal of 10668580 is 8586601.

10668580 = 6² + 7² + ... + 317².

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1378276 + 9290304 = 1174^2 + 3048^2 .

It is a super-2 number, since 2×10668580² = 227637198432800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10668583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9066 + ... + 10174.

It is an arithmetic number, because the mean of its divisors is an integer number (516705).

Almost surely, 2^10668580 is an apocalyptic number.

10668580 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 10668580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12400920).

10668580 is an abundant number, since it is smaller than the sum of its proper divisors (14133260).

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

10668580 is a wasteful number, since it uses less digits than its factorization.

10668580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 10668580 is about 3266.2792287249. The cubic root of 10668580 is about 220.1416443216.

It can be divided in two parts, 106 and 68580, that added together give a palindrome (68686).

The spelling of 10668580 in words is "ten million, six hundred sixty-eight thousand, five hundred eighty".