11917680 has 160 divisors (see below), whose sum is σ = 41140224. Its totient is φ = 2838528.

The previous prime is 11917673. The next prime is 11917681. The reversal of 11917680 is 8671911.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11917681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93777 + ... + 93903.

Almost surely, 2^11917680 is an apocalyptic number.

11917680 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 11917680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20570112).

11917680 is an abundant number, since it is smaller than the sum of its proper divisors (29222544).

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

11917680 is a wasteful number, since it uses less digits than its factorization.

11917680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 33.

The square root of 11917680 is about 3452.1992989977. The cubic root of 11917680 is about 228.4181308406.

The spelling of 11917680 in words is "eleven million, nine hundred seventeen thousand, six hundred eighty".