11456680 has 32 divisors (see below), whose sum is σ = 26477640. Its totient is φ = 4458240.

The previous prime is 11456647. The next prime is 11456681. The reversal of 11456680 is 8665411.

It can be written as a sum of positive squares in 4 ways, for example, as 9771876 + 1684804 = 3126^2 + 1298^2 .

It is not an unprimeable number, because it can be changed into a prime (11456681) 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 7 ways as a sum of consecutive naturals, for example, 2391 + ... + 5350.

Almost surely, 2^11456680 is an apocalyptic number.

11456680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11456680 is an abundant number, since it is smaller than the sum of its proper divisors (15020960).

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

11456680 is a wasteful number, since it uses less digits than its factorization.

11456680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7789 (or 7785 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 11456680 is about 3384.7717796035. The cubic root of 11456680 is about 225.4340920098.

The spelling of 11456680 in words is "eleven million, four hundred fifty-six thousand, six hundred eighty".