11680064 has 56 divisors (see below), whose sum is σ = 25895808. Its totient is φ = 5181440.

The previous prime is 11680051. The next prime is 11680099. The reversal of 11680064 is 46008611.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32912 + ... + 33264.

Almost surely, 2^11680064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11680064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12947904).

11680064 is an abundant number, since it is smaller than the sum of its proper divisors (14215744).

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

11680064 is a wasteful number, since it uses less digits than its factorization.

11680064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 11680064 is about 3417.6108614060. The cubic root of 11680064 is about 226.8898532168.

Adding to 11680064 its reverse (46008611), we get a palindrome (57688675).

The spelling of 11680064 in words is "eleven million, six hundred eighty thousand, sixty-four".