11680416 has 96 divisors (see below), whose sum is σ = 37195200. Its totient is φ = 3536640.

The previous prime is 11680379. The next prime is 11680457. The reversal of 11680416 is 61408611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11680416.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8890 + ... + 10118.

It is an arithmetic number, because the mean of its divisors is an integer number (387450).

Almost surely, 2^11680416 is an apocalyptic number.

11680416 is a gapful number since it is divisible by the number (16) 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 11680416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18597600).

11680416 is an abundant number, since it is smaller than the sum of its proper divisors (25514784).

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

11680416 is a wasteful number, since it uses less digits than its factorization.

11680416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11680416 is about 3417.6623589816. The cubic root of 11680416 is about 226.8921324402.

The spelling of 11680416 in words is "eleven million, six hundred eighty thousand, four hundred sixteen".