11682720 has 288 divisors, whose sum is σ = 48746880. Its totient is φ = 2488320.

The previous prime is 11682707. The next prime is 11682721. The reversal of 11682720 is 2728611.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (11682721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191490 + ... + 191550.

It is an arithmetic number, because the mean of its divisors is an integer number (169260).

Almost surely, 2^11682720 is an apocalyptic number.

11682720 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 11682720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373440).

11682720 is an abundant number, since it is smaller than the sum of its proper divisors (37064160).

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

11682720 is a wasteful number, since it uses less digits than its factorization.

11682720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 11682720 is about 3417.9994148624. Note that the first 3 decimals coincide. The cubic root of 11682720 is about 226.9070498628.

The spelling of 11682720 in words is "eleven million, six hundred eighty-two thousand, seven hundred twenty".