11657680 has 20 divisors (see below), whose sum is σ = 27104292. Its totient is φ = 4663040.

The previous prime is 11657669. The next prime is 11657683. The reversal of 11657680 is 8675611.

It can be written as a sum of positive squares in 2 ways, for example, as 6012304 + 5645376 = 2452^2 + 2376^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11657683) 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, 72781 + ... + 72940.

Almost surely, 2^11657680 is an apocalyptic number.

11657680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11657680 is an abundant number, since it is smaller than the sum of its proper divisors (15446612).

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

11657680 is a wasteful number, since it uses less digits than its factorization.

11657680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145734 (or 145728 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 11657680 is about 3414.3344885936. The cubic root of 11657680 is about 226.7448211846.

The spelling of 11657680 in words is "eleven million, six hundred fifty-seven thousand, six hundred eighty".