11749296 has 80 divisors (see below), whose sum is σ = 34442240. Its totient is φ = 3421440.

The previous prime is 11749289. The next prime is 11749301. The reversal of 11749296 is 69294711.

11749296 is digitally balanced in base 2, because in such base 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 an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11361 + ... + 12351.

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

Almost surely, 2^11749296 is an apocalyptic number.

11749296 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 11749296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221120).

11749296 is an abundant number, since it is smaller than the sum of its proper divisors (22692944).

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

11749296 is a wasteful number, since it uses less digits than its factorization.

11749296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1028 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 11749296 is about 3427.7246097083. The cubic root of 11749296 is about 227.3372567116.

The spelling of 11749296 in words is "eleven million, seven hundred forty-nine thousand, two hundred ninety-six".