11835680 has 24 divisors (see below), whose sum is σ = 27962172. Its totient is φ = 4734208.

The previous prime is 11835661. The next prime is 11835713. The reversal of 11835680 is 8653811.

It can be written as a sum of positive squares in 2 ways, for example, as 11806096 + 29584 = 3436^2 + 172^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 36827 + ... + 37146.

Almost surely, 2^11835680 is an apocalyptic number.

11835680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11835680 is an abundant number, since it is smaller than the sum of its proper divisors (16126492).

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

11835680 is an equidigital number, since it uses as much as digits as its factorization.

11835680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73988 (or 73980 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 11835680 is about 3440.3023122976. The cubic root of 11835680 is about 227.8930451467.

The spelling of 11835680 in words is "eleven million, eight hundred thirty-five thousand, six hundred eighty".