11515056 has 80 divisors (see below), whose sum is σ = 34831104. Its totient is φ = 3209472.

The previous prime is 11515037. The next prime is 11515057. The reversal of 11515056 is 65051511.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (11515057) 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 15 ways as a sum of consecutive naturals, for example, 14050 + ... + 14846.

Almost surely, 2^11515056 is an apocalyptic number.

11515056 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 11515056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17415552).

11515056 is an abundant number, since it is smaller than the sum of its proper divisors (23316048).

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

11515056 is a wasteful number, since it uses less digits than its factorization.

11515056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 11515056 is about 3393.3841515514. The cubic root of 11515056 is about 225.8163334047.

Adding to 11515056 its reverse (65051511), we get a palindrome (76566567).

It can be divided in two parts, 1151505 and 6, that added together give a palindrome (1151511).

The spelling of 11515056 in words is "eleven million, five hundred fifteen thousand, fifty-six".