11737968 has 120 divisors (see below), whose sum is σ = 34831104. Its totient is φ = 3400320.

The previous prime is 11737967. The next prime is 11737997. The reversal of 11737968 is 86973711.

11737968 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 (11737967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 249721 + ... + 249767.

Almost surely, 2^11737968 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 11737968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17415552).

11737968 is an abundant number, since it is smaller than the sum of its proper divisors (23093136).

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

11737968 is a wasteful number, since it uses less digits than its factorization.

11737968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 106 counting only the distinct ones).

The product of its digits is 63504, while the sum is 42.

The square root of 11737968 is about 3426.0718031005. The cubic root of 11737968 is about 227.2641713531.

The spelling of 11737968 in words is "eleven million, seven hundred thirty-seven thousand, nine hundred sixty-eight".