11279616 has 72 divisors (see below), whose sum is σ = 31641120. Its totient is φ = 3557376.

The previous prime is 11279603. The next prime is 11279623. The reversal of 11279616 is 61697211.

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, 14206 + ... + 14978.

It is an arithmetic number, because the mean of its divisors is an integer number (439460).

Almost surely, 2^11279616 is an apocalyptic number.

11279616 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 11279616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15820560).

11279616 is an abundant number, since it is smaller than the sum of its proper divisors (20361504).

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

11279616 is an equidigital number, since it uses as much as digits as its factorization.

11279616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 797 counting only the distinct ones).

The product of its digits is 4536, while the sum is 33.

The square root of 11279616 is about 3358.5139570947. The cubic root of 11279616 is about 224.2666891628.

The spelling of 11279616 in words is "eleven million, two hundred seventy-nine thousand, six hundred sixteen".