11264220 has 72 divisors (see below), whose sum is σ = 37280880. Its totient is φ = 2730240.

The previous prime is 11264219. The next prime is 11264257. The reversal of 11264220 is 2246211.

11264220 is a `hidden beast` number, since 1 + 1 + 2 + 642 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11264193 and 11264202.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 865 + ... + 4824.

It is an arithmetic number, because the mean of its divisors is an integer number (517790).

Almost surely, 2^11264220 is an apocalyptic number.

11264220 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 11264220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18640440).

11264220 is an abundant number, since it is smaller than the sum of its proper divisors (26016660).

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

11264220 is a wasteful number, since it uses less digits than its factorization.

11264220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5715 (or 5710 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 11264220 is about 3356.2210892610. The cubic root of 11264220 is about 224.1646058384.

Subtracting from 11264220 its reverse (2246211), we obtain a square (9018009 = 3003²).

The spelling of 11264220 in words is "eleven million, two hundred sixty-four thousand, two hundred twenty".