11889936 has 80 divisors (see below), whose sum is σ = 36158400. Its totient is φ = 3727872.

The previous prime is 11889923. The next prime is 11889949. The reversal of 11889936 is 63998811.

It is an interprime number because it is at equal distance from previous prime (11889923) and next prime (11889949).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11889891 and 11889900.

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, 6535 + ... + 8153.

It is an arithmetic number, because the mean of its divisors is an integer number (451980).

Almost surely, 2^11889936 is an apocalyptic number.

11889936 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 11889936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18079200).

11889936 is an abundant number, since it is smaller than the sum of its proper divisors (24268464).

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

11889936 is a wasteful number, since it uses less digits than its factorization.

11889936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1641 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 11889936 is about 3448.1786496642. The cubic root of 11889936 is about 228.2407429424.

The spelling of 11889936 in words is "eleven million, eight hundred eighty-nine thousand, nine hundred thirty-six".