11749040 has 80 divisors (see below), whose sum is σ = 29649888. Its totient is φ = 4313088.

The previous prime is 11749039. The next prime is 11749051. The reversal of 11749040 is 4094711.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71999 + ... + 72161.

Almost surely, 2^11749040 is an apocalyptic number.

11749040 is a gapful number since it is divisible by the number (10) 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 11749040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14824944).

11749040 is an abundant number, since it is smaller than the sum of its proper divisors (17900848).

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

11749040 is a wasteful number, since it uses less digits than its factorization.

11749040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 11749040 is about 3427.6872669484. The cubic root of 11749040 is about 227.3356055840.

The spelling of 11749040 in words is "eleven million, seven hundred forty-nine thousand, forty".