11739168 has 120 divisors (see below), whose sum is σ = 39517632. Its totient is φ = 3348864.

The previous prime is 11739157. The next prime is 11739179. The reversal of 11739168 is 86193711.

It is an interprime number because it is at equal distance from previous prime (11739157) and next prime (11739179).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17821 + ... + 18467.

Almost surely, 2^11739168 is an apocalyptic number.

11739168 is a gapful number since it is divisible by the number (18) 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 11739168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19758816).

11739168 is an abundant number, since it is smaller than the sum of its proper divisors (27778464).

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

11739168 is an equidigital number, since it uses as much as digits as its factorization.

11739168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 659 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 11739168 is about 3426.2469263029. The cubic root of 11739168 is about 227.2719156723.

The spelling of 11739168 in words is "eleven million, seven hundred thirty-nine thousand, one hundred sixty-eight".