11505680 has 20 divisors (see below), whose sum is σ = 26750892. Its totient is φ = 4602240.

The previous prime is 11505679. The next prime is 11505701. The reversal of 11505680 is 8650511.

It can be written as a sum of positive squares in 2 ways, for example, as 4129024 + 7376656 = 2032^2 + 2716^2 .

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

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71831 + ... + 71990.

Almost surely, 2^11505680 is an apocalyptic number.

11505680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11505680 is an abundant number, since it is smaller than the sum of its proper divisors (15245212).

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

11505680 is a wasteful number, since it uses less digits than its factorization.

11505680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143834 (or 143828 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 11505680 is about 3392.0023584897. The cubic root of 11505680 is about 225.7550273242.

The spelling of 11505680 in words is "eleven million, five hundred five thousand, six hundred eighty".