11955104 has 72 divisors (see below), whose sum is σ = 28859040. Its totient is φ = 4762368.

The previous prime is 11955091. The next prime is 11955109. The reversal of 11955104 is 40155911.

11955104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11955109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225542 + ... + 225594.

It is an arithmetic number, because the mean of its divisors is an integer number (400820).

Almost surely, 2^11955104 is an apocalyptic number.

11955104 is a gapful number since it is divisible by the number (14) 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 11955104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14429520).

11955104 is an abundant number, since it is smaller than the sum of its proper divisors (16903936).

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

11955104 is an equidigital number, since it uses as much as digits as its factorization.

11955104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The square root of 11955104 is about 3457.6153632236. The cubic root of 11955104 is about 228.6569745269.

The spelling of 11955104 in words is "eleven million, nine hundred fifty-five thousand, one hundred four".