10806980 has 12 divisors (see below), whose sum is σ = 22694700. Its totient is φ = 4322784.

The previous prime is 10806973. The next prime is 10806989. The reversal of 10806980 is 8960801.

It can be written as a sum of positive squares in 2 ways, for example, as 1577536 + 9229444 = 1256^2 + 3038^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10806989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 270155 + ... + 270194.

It is an arithmetic number, because the mean of its divisors is an integer number (1891225).

Almost surely, 2^10806980 is an apocalyptic number.

10806980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10806980 is an abundant number, since it is smaller than the sum of its proper divisors (11887720).

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

10806980 is a wasteful number, since it uses less digits than its factorization.

10806980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540358 (or 540356 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 10806980 is about 3287.3971466800. The cubic root of 10806980 is about 221.0894991816.

The spelling of 10806980 in words is "ten million, eight hundred six thousand, nine hundred eighty".