11296096 has 48 divisors (see below), whose sum is σ = 25643520. Its totient is φ = 4798080.

The previous prime is 11296069. The next prime is 11296099. The reversal of 11296096 is 69069211.

11296096 = T₂₁₆ + T₂₁₇ + ... + T₄₂₆.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11296099) by changing a digit.

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, 47145 + ... + 47383.

It is an arithmetic number, because the mean of its divisors is an integer number (534240).

Almost surely, 2^11296096 is an apocalyptic number.

11296096 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 11296096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821760).

11296096 is an abundant number, since it is smaller than the sum of its proper divisors (14347424).

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

11296096 is a wasteful number, since it uses less digits than its factorization.

11296096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 467 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 34.

The square root of 11296096 is about 3360.9665276524. The cubic root of 11296096 is about 224.3758570794.

It can be divided in two parts, 1129 and 6096, that added together give a square (7225 = 85²).

The spelling of 11296096 in words is "eleven million, two hundred ninety-six thousand, ninety-six".