11749968 has 80 divisors (see below), whose sum is σ = 34372800. Its totient is φ = 3841920.

The previous prime is 11749963. The next prime is 11749973. The reversal of 11749968 is 86994711.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11749963) and next prime (11749973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11749963) 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, 25258 + ... + 25718.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 2^11749968 is an apocalyptic number.

11749968 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 11749968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17186400).

11749968 is an abundant number, since it is smaller than the sum of its proper divisors (22622832).

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

11749968 is a wasteful number, since it uses less digits than its factorization.

11749968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 525 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 11749968 is about 3427.8226325176. The cubic root of 11749968 is about 227.3415908074.

The spelling of 11749968 in words is "eleven million, seven hundred forty-nine thousand, nine hundred sixty-eight".