10580766 has 96 divisors (see below), whose sum is σ = 27332640. Its totient is φ = 2709504.

The previous prime is 10580743. The next prime is 10580767. The reversal of 10580766 is 66708501.

10580766 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10580766² = 223905218293512, which contains 22 as substring.

10580766 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10580767) 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, 144906 + ... + 144978.

It is an arithmetic number, because the mean of its divisors is an integer number (284715).

Almost surely, 2^10580766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10580766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13666320).

10580766 is an abundant number, since it is smaller than the sum of its proper divisors (16751874).

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

10580766 is a wasteful number, since it uses less digits than its factorization.

10580766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 10580766 is about 3252.8089399779. The cubic root of 10580766 is about 219.5359778996.

The spelling of 10580766 in words is "ten million, five hundred eighty thousand, seven hundred sixty-six".