11727440 has 40 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 4589696.

The previous prime is 11727439. The next prime is 11727449. The reversal of 11727440 is 4472711.

It is a tau number, because it is divible by the number of its divisors (40).

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11727449) 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 7 ways as a sum of consecutive naturals, for example, 2201 + ... + 5319.

It is an arithmetic number, because the mean of its divisors is an integer number (696384).

Almost surely, 2^11727440 is an apocalyptic number.

11727440 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 11727440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

11727440 is an abundant number, since it is smaller than the sum of its proper divisors (16127920).

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

11727440 is a wasteful number, since it uses less digits than its factorization.

11727440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3179 (or 3173 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 26.

The square root of 11727440 is about 3424.5350049313. The cubic root of 11727440 is about 227.1962052200.

It can be divided in two parts, 11727 and 440, that added together give a cube (12167 = 23³).

The spelling of 11727440 in words is "eleven million, seven hundred twenty-seven thousand, four hundred forty".