11727240 has 128 divisors (see below), whose sum is σ = 42024960. Its totient is φ = 2559744.

The previous prime is 11727197. The next prime is 11727277. The reversal of 11727240 is 4272711.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11727240.

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 31 ways as a sum of consecutive naturals, for example, 19017 + ... + 19623.

It is an arithmetic number, because the mean of its divisors is an integer number (328320).

Almost surely, 2^11727240 is an apocalyptic number.

11727240 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 11727240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21012480).

11727240 is an abundant number, since it is smaller than the sum of its proper divisors (30297720).

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

11727240 is a wasteful number, since it uses less digits than its factorization.

11727240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 11727240 is about 3424.5058037621. The cubic root of 11727240 is about 227.1949136764.

Adding to 11727240 its reverse (4272711), we get a palindrome (15999951).

The spelling of 11727240 in words is "eleven million, seven hundred twenty-seven thousand, two hundred forty".