11744960 has 84 divisors (see below), whose sum is σ = 29943552. Its totient is φ = 4386816.

The previous prime is 11744933. The next prime is 11744969. The reversal of 11744960 is 6944711.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (11744969) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 92417 + ... + 92543.

Almost surely, 2^11744960 is an apocalyptic number.

11744960 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 11744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14971776).

11744960 is an abundant number, since it is smaller than the sum of its proper divisors (18198592).

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

11744960 is a wasteful number, since it uses less digits than its factorization.

11744960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 11744960 is about 3427.0920617923. The cubic root of 11744960 is about 227.3092875002.

The spelling of 11744960 in words is "eleven million, seven hundred forty-four thousand, nine hundred sixty".