11512648 has 48 divisors (see below), whose sum is σ = 25732080. Its totient is φ = 4812192.

The previous prime is 11512609. The next prime is 11512649. The reversal of 11512648 is 84621511.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (11512649) 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, 16515 + ... + 17197.

It is an arithmetic number, because the mean of its divisors is an integer number (536085).

Almost surely, 2^11512648 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 11512648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12866040).

11512648 is an abundant number, since it is smaller than the sum of its proper divisors (14219432).

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

11512648 is a wasteful number, since it uses less digits than its factorization.

11512648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 735 counting only the distinct ones).

The product of its digits is 1920, while the sum is 28.

The square root of 11512648 is about 3393.0293249543. The cubic root of 11512648 is about 225.8005915899.

The spelling of 11512648 in words is "eleven million, five hundred twelve thousand, six hundred forty-eight".