11696000 has 128 divisors (see below), whose sum is σ = 31505760. Its totient is φ = 4300800.

The previous prime is 11695991. The next prime is 11696059. The reversal of 11696000 is 69611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 271979 + ... + 272021.

Almost surely, 2^11696000 is an apocalyptic number.

11696000 is a gapful number since it is divisible by the number (10) 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 11696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15752880).

11696000 is an abundant number, since it is smaller than the sum of its proper divisors (19809760).

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

11696000 is an equidigital number, since it uses as much as digits as its factorization.

11696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 11696000 is about 3419.9415199678. The cubic root of 11696000 is about 226.9929940200.

The spelling of 11696000 in words is "eleven million, six hundred ninety-six thousand".