11242656 has 72 divisors (see below), whose sum is σ = 32366880. Its totient is φ = 3701376.

The previous prime is 11242639. The next prime is 11242663. The reversal of 11242656 is 65624211.

11242656 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 2 + 656 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29475 + ... + 29853.

It is an arithmetic number, because the mean of its divisors is an integer number (449540).

Almost surely, 2^11242656 is an apocalyptic number.

11242656 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 11242656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16183440).

11242656 is an abundant number, since it is smaller than the sum of its proper divisors (21124224).

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

11242656 is a wasteful number, since it uses less digits than its factorization.

11242656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 487 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 11242656 is about 3353.0070086416. The cubic root of 11242656 is about 224.0214690307.

Adding to 11242656 its reverse (65624211), we get a palindrome (76866867).

The spelling of 11242656 in words is "eleven million, two hundred forty-two thousand, six hundred fifty-six".