11835096 has 64 divisors (see below), whose sum is σ = 36422400. Its totient is φ = 3120768.

The previous prime is 11835073. The next prime is 11835097. The reversal of 11835096 is 69053811.

11835096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11835097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 526 + ... + 4893.

It is an arithmetic number, because the mean of its divisors is an integer number (569100).

Almost surely, 2^11835096 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 11835096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18211200).

11835096 is an abundant number, since it is smaller than the sum of its proper divisors (24587304).

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

11835096 is a wasteful number, since it uses less digits than its factorization.

11835096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448 (or 5444 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 11835096 is about 3440.2174349887. The cubic root of 11835096 is about 227.8892968273.

It can be divided in two parts, 1183 and 5096, that multiplied together give a cube (6028568 = 182³).

The spelling of 11835096 in words is "eleven million, eight hundred thirty-five thousand, ninety-six".