11823680 has 56 divisors (see below), whose sum is σ = 30723840. Its totient is φ = 4298240.

The previous prime is 11823673. The next prime is 11823689. The reversal of 11823680 is 8632811.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11823689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1841 + ... + 5199.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 2^11823680 is an apocalyptic number.

11823680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920).

11823680 is an abundant number, since it is smaller than the sum of its proper divisors (18900160).

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

11823680 is a wasteful number, since it uses less digits than its factorization.

11823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 11823680 is about 3438.5578372335. The cubic root of 11823680 is about 227.8160001074.

The spelling of 11823680 in words is "eleven million, eight hundred twenty-three thousand, six hundred eighty".