11891936 has 24 divisors (see below), whose sum is σ = 26757360. Its totient is φ = 5096448.

The previous prime is 11891933. The next prime is 11891939. The reversal of 11891936 is 63919811.

11891936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11891933) and next prime (11891939).

It is a self number, because there is not a number n which added to its sum of digits gives 11891936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11891933) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26321 + ... + 26768.

It is an arithmetic number, because the mean of its divisors is an integer number (1114890).

Almost surely, 2^11891936 is an apocalyptic number.

11891936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11891936 is an abundant number, since it is smaller than the sum of its proper divisors (14865424).

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

11891936 is an equidigital number, since it uses as much as digits as its factorization.

11891936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53106 (or 53098 counting only the distinct ones).

The product of its digits is 11664, while the sum is 38.

The square root of 11891936 is about 3448.4686456455. The cubic root of 11891936 is about 228.2535396441.

It can be divided in two parts, 1189 and 1936, that added together give a 5-th power (3125 = 5⁵).

The spelling of 11891936 in words is "eleven million, eight hundred ninety-one thousand, nine hundred thirty-six".