11278656 has 112 divisors (see below), whose sum is σ = 34015680. Its totient is φ = 3663360.

The previous prime is 11278639. The next prime is 11278681. The reversal of 11278656 is 65687211.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11278656.

It is a congruent number.

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, 105355 + ... + 105461.

Almost surely, 2^11278656 is an apocalyptic number.

11278656 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 11278656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17007840).

11278656 is an abundant number, since it is smaller than the sum of its proper divisors (22737024).

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

11278656 is a wasteful number, since it uses less digits than its factorization.

11278656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 173 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 11278656 is about 3358.3710337007. The cubic root of 11278656 is about 224.2603265902.

The spelling of 11278656 in words is "eleven million, two hundred seventy-eight thousand, six hundred fifty-six".