11973936 has 80 divisors (see below), whose sum is σ = 34442240. Its totient is φ = 3559680.

The previous prime is 11973931. The next prime is 11973943. The reversal of 11973936 is 63937911.

11973936 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 11973894 and 11973903.

It is not an unprimeable number, because it can be changed into a prime (11973931) 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, 19035 + ... + 19653.

It is an arithmetic number, because the mean of its divisors is an integer number (430528).

Almost surely, 2^11973936 is an apocalyptic number.

11973936 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 11973936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221120).

11973936 is an abundant number, since it is smaller than the sum of its proper divisors (22468304).

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

11973936 is a wasteful number, since it uses less digits than its factorization.

11973936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its digits is 30618, while the sum is 39.

The square root of 11973936 is about 3460.3375557885. The cubic root of 11973936 is about 228.7769737370.

The spelling of 11973936 in words is "eleven million, nine hundred seventy-three thousand, nine hundred thirty-six".