11226864 has 60 divisors (see below), whose sum is σ = 31895528. Its totient is φ = 3400320.

The previous prime is 11226863. The next prime is 11226869. The reversal of 11226864 is 46862211.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11226863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4842 + ... + 6774.

Almost surely, 2^11226864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11226864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15947764).

11226864 is an abundant number, since it is smaller than the sum of its proper divisors (20668664).

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

11226864 is a wasteful number, since it uses less digits than its factorization.

11226864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1949 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 11226864 is about 3350.6512799753. The cubic root of 11226864 is about 223.9165292737.

It can be divided in two parts, 11226 and 864, that added together give a triangular number (12090 = T₁₅₅).

The spelling of 11226864 in words is "eleven million, two hundred twenty-six thousand, eight hundred sixty-four".