11279680 has 56 divisors (see below), whose sum is σ = 27203400. Its totient is φ = 4454400.

The previous prime is 11279669. The next prime is 11279707. The reversal of 11279680 is 8697211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 6190144 = 2256^2 + 2488^2 .

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, 32146 + ... + 32494.

It is an arithmetic number, because the mean of its divisors is an integer number (485775).

Almost surely, 2^11279680 is an apocalyptic number.

11279680 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 11279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13601700).

11279680 is an abundant number, since it is smaller than the sum of its proper divisors (15923720).

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

11279680 is a wasteful number, since it uses less digits than its factorization.

11279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 11279680 is about 3358.5234851047. The cubic root of 11279680 is about 224.2671133215.

The spelling of 11279680 in words is "eleven million, two hundred seventy-nine thousand, six hundred eighty".