11680580 has 24 divisors (see below), whose sum is σ = 24686592. Its totient is φ = 4642272.

The previous prime is 11680577. The next prime is 11680597. The reversal of 11680580 is 8508611.

It is a super-3 number, since 3×11680580³ (a number of 22 digits) contains 333 as substring.

It is an unprimeable number.

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, 1469 + ... + 5051.

It is an arithmetic number, because the mean of its divisors is an integer number (1028608).

Almost surely, 2^11680580 is an apocalyptic number.

11680580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11680580 is an abundant number, since it is smaller than the sum of its proper divisors (13006012).

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

11680580 is a wasteful number, since it uses less digits than its factorization.

11680580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3755 (or 3753 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 11680580 is about 3417.6863519053. The cubic root of 11680580 is about 226.8931943355.

The spelling of 11680580 in words is "eleven million, six hundred eighty thousand, five hundred eighty".