11512896 has 56 divisors (see below), whose sum is σ = 30992064. Its totient is φ = 3770880.

The previous prime is 11512861. The next prime is 11512901. The reversal of 11512896 is 69821511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11221 + ... + 12203.

Almost surely, 2^11512896 is an apocalyptic number.

11512896 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 11512896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15496032).

11512896 is an abundant number, since it is smaller than the sum of its proper divisors (19479168).

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

11512896 is an equidigital number, since it uses as much as digits as its factorization.

11512896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1059 (or 1049 counting only the distinct ones).

The product of its digits is 4320, while the sum is 33.

The square root of 11512896 is about 3393.0658702713. The cubic root of 11512896 is about 225.8022129413.

The spelling of 11512896 in words is "eleven million, five hundred twelve thousand, eight hundred ninety-six".