11746944 has 160 divisors (see below), whose sum is σ = 38507040. Its totient is φ = 3525120.

The previous prime is 11746939. The next prime is 11746957. The reversal of 11746944 is 44964711.

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

It is a junction number, because it is equal to n+sod(n) for n = 11746899 and 11746908.

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 19 ways as a sum of consecutive naturals, for example, 113997 + ... + 114099.

It is an arithmetic number, because the mean of its divisors is an integer number (240669).

Almost surely, 2^11746944 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 11746944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19253520).

11746944 is an abundant number, since it is smaller than the sum of its proper divisors (26760096).

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

11746944 is a wasteful number, since it uses less digits than its factorization.

11746944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 11746944 is about 3427.3815077986. The cubic root of 11746944 is about 227.3220860747.

It can be divided in two parts, 1174 and 6944, that added together give a palindrome (8118).

The spelling of 11746944 in words is "eleven million, seven hundred forty-six thousand, nine hundred forty-four".