11832096 has 48 divisors (see below), whose sum is σ = 31600800. Its totient is φ = 3875328.

The previous prime is 11832089. The next prime is 11832101. The reversal of 11832096 is 69023811.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4620 + ... + 6708.

It is an arithmetic number, because the mean of its divisors is an integer number (658350).

Almost surely, 2^11832096 is an apocalyptic number.

11832096 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 11832096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15800400).

11832096 is an abundant number, since it is smaller than the sum of its proper divisors (19768704).

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

11832096 is a wasteful number, since it uses less digits than its factorization.

11832096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 11832096 is about 3439.7813884025. The cubic root of 11832096 is about 227.8700398179.

The spelling of 11832096 in words is "eleven million, eight hundred thirty-two thousand, ninety-six".