11296384 has 64 divisors (see below), whose sum is σ = 25116480. Its totient is φ = 5017600.

The previous prime is 11296379. The next prime is 11296387. The reversal of 11296384 is 48369211.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (11296387) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99912 + ... + 100024.

It is an arithmetic number, because the mean of its divisors is an integer number (392445).

Almost surely, 2^11296384 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 11296384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12558240).

11296384 is an abundant number, since it is smaller than the sum of its proper divisors (13820096).

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

11296384 is a wasteful number, since it uses less digits than its factorization.

11296384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 197 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The square root of 11296384 is about 3361.0093721976. The cubic root of 11296384 is about 224.3777639239.

The spelling of 11296384 in words is "eleven million, two hundred ninety-six thousand, three hundred eighty-four".