11239680 has 72 divisors (see below), whose sum is σ = 35908992. Its totient is φ = 2996224.

The previous prime is 11239667. The next prime is 11239691. The reversal of 11239680 is 8693211.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2377 + ... + 5303.

It is an arithmetic number, because the mean of its divisors is an integer number (498736).

Almost surely, 2^11239680 is an apocalyptic number.

11239680 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 11239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17954496).

11239680 is an abundant number, since it is smaller than the sum of its proper divisors (24669312).

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

11239680 is an equidigital number, since it uses as much as digits as its factorization.

11239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2937 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 11239680 is about 3352.5631985095. The cubic root of 11239680 is about 224.0017006674.

The spelling of 11239680 in words is "eleven million, two hundred thirty-nine thousand, six hundred eighty".