11835936 has 192 divisors, whose sum is σ = 41932800. Its totient is φ = 3172608.

The previous prime is 11835881. The next prime is 11835937. The reversal of 11835936 is 63953811.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11835936.

It is not an unprimeable number, because it can be changed into a prime (11835937) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114861 + ... + 114963.

It is an arithmetic number, because the mean of its divisors is an integer number (218400).

Almost surely, 2^11835936 is an apocalyptic number.

11835936 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 11835936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966400).

11835936 is an abundant number, since it is smaller than the sum of its proper divisors (30096864).

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

11835936 is a wasteful number, since it uses less digits than its factorization.

11835936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 11835936 is about 3440.3395181290. The cubic root of 11835936 is about 227.8946882067.

The spelling of 11835936 in words is "eleven million, eight hundred thirty-five thousand, nine hundred thirty-six".