10580940 has 72 divisors (see below), whose sum is σ = 33218640. Its totient is φ = 2722944.

The previous prime is 10580893. The next prime is 10580959. The reversal of 10580940 is 4908501.

10580940 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 2×10580940² = 223912582567200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4207 + ... + 6233.

It is an arithmetic number, because the mean of its divisors is an integer number (461370).

Almost surely, 2^10580940 is an apocalyptic number.

10580940 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 10580940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16609320).

10580940 is an abundant number, since it is smaller than the sum of its proper divisors (22637700).

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

10580940 is a wasteful number, since it uses less digits than its factorization.

10580940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2066 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 10580940 is about 3252.8356859823. The cubic root of 10580940 is about 219.5371813112.

The spelling of 10580940 in words is "ten million, five hundred eighty thousand, nine hundred forty".