11254656 has 128 divisors (see below), whose sum is σ = 35251200. Its totient is φ = 3115008.

The previous prime is 11254651. The next prime is 11254679. The reversal of 11254656 is 65645211.

11254656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (7200) is a multiple of the sum of its prime divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11254651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142425 + ... + 142503.

It is an arithmetic number, because the mean of its divisors is an integer number (275400).

Almost surely, 2^11254656 is an apocalyptic number.

11254656 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 11254656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17625600).

11254656 is an abundant number, since it is smaller than the sum of its proper divisors (23996544).

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

11254656 is an equidigital number, since it uses as much as digits as its factorization.

11254656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 144 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 11254656 is about 3354.7959699511. The cubic root of 11254656 is about 224.1011447985.

Adding to 11254656 its reverse (65645211), we get a palindrome (76899867).

The spelling of 11254656 in words is "eleven million, two hundred fifty-four thousand, six hundred fifty-six".