11680704 has 84 divisors (see below), whose sum is σ = 38276784. Its totient is φ = 3336192.

The previous prime is 11680693. The next prime is 11680727. The reversal of 11680704 is 40708611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2584 + ... + 5480.

It is an arithmetic number, because the mean of its divisors is an integer number (455676).

Almost surely, 2^11680704 is an apocalyptic number.

11680704 is a gapful number since it is divisible by the number (14) 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 11680704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19138392).

11680704 is an abundant number, since it is smaller than the sum of its proper divisors (26596080).

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

11680704 is a wasteful number, since it uses less digits than its factorization.

11680704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2909 counting only the distinct ones).

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

The square root of 11680704 is about 3417.7044927846. The cubic root of 11680704 is about 226.8939972253.

The spelling of 11680704 in words is "eleven million, six hundred eighty thousand, seven hundred four".