11487744 has 100 divisors (see below), whose sum is σ = 34411674. Its totient is φ = 3815424.

The previous prime is 11487739. The next prime is 11487757. The reversal of 11487744 is 44778411.

It can be written as a sum of positive squares in only one way, i.e., 10969344 + 518400 = 3312^2 + 720^2 .

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 = 11487699 and 11487708.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41334 + ... + 41610.

Almost surely, 2^11487744 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 11487744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17205837).

11487744 is an abundant number, since it is smaller than the sum of its proper divisors (22923930).

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

11487744 is an frugal number, since it uses more digits than its factorization.

11487744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 282 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 11487744 is about 3389.3574612307. The cubic root of 11487744 is about 225.6376578151.

It can be divided in two parts, 114877 and 44, that added together give a square (114921 = 339²).

The spelling of 11487744 in words is "eleven million, four hundred eighty-seven thousand, seven hundred forty-four".