11496288 has 48 divisors (see below), whose sum is σ = 31159296. Its totient is φ = 3707520.

The previous prime is 11496271. The next prime is 11496313. The reversal of 11496288 is 88269411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1045 + ... + 4907.

It is an arithmetic number, because the mean of its divisors is an integer number (649152).

Almost surely, 2^11496288 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 11496288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15579648).

11496288 is an abundant number, since it is smaller than the sum of its proper divisors (19663008).

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

11496288 is a wasteful number, since it uses less digits than its factorization.

11496288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3907 (or 3899 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 11496288 is about 3390.6176428492. The cubic root of 11496288 is about 225.6935832257.

The spelling of 11496288 in words is "eleven million, four hundred ninety-six thousand, two hundred eighty-eight".