11339680 has 96 divisors (see below), whose sum is σ = 31026240. Its totient is φ = 3870720.

The previous prime is 11339651. The next prime is 11339681. The reversal of 11339680 is 8693311.

It is not an unprimeable number, because it can be changed into a prime (11339681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29731 + ... + 30109.

It is an arithmetic number, because the mean of its divisors is an integer number (323190).

Almost surely, 2^11339680 is an apocalyptic number.

11339680 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 11339680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15513120).

11339680 is an abundant number, since it is smaller than the sum of its proper divisors (19686560).

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

11339680 is a wasteful number, since it uses less digits than its factorization.

11339680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 11339680 is about 3367.4441346517. Note that the first 3 decimals coincide. The cubic root of 11339680 is about 224.6640583346.

It can be divided in two parts, 113 and 39680, that added together give a palindrome (39793).

The spelling of 11339680 in words is "eleven million, three hundred thirty-nine thousand, six hundred eighty".