11744040 has 256 divisors, whose sum is σ = 46448640. Its totient is φ = 2304000.

The previous prime is 11744027. The next prime is 11744041. The reversal of 11744040 is 4044711.

11744040 = T₃₁₁ + T₃₁₂ + ... + T₄₆₄.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11743998 and 11744016.

It is not an unprimeable number, because it can be changed into a prime (11744041) 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 63 ways as a sum of consecutive naturals, for example, 286420 + ... + 286460.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^11744040 is an apocalyptic number.

11744040 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 11744040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23224320).

11744040 is an abundant number, since it is smaller than the sum of its proper divisors (34704600).

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

11744040 is a wasteful number, since it uses less digits than its factorization.

11744040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 11744040 is about 3426.9578345816. The cubic root of 11744040 is about 227.3033521883.

Adding to 11744040 its reverse (4044711), we get a palindrome (15788751).

The spelling of 11744040 in words is "eleven million, seven hundred forty-four thousand, forty".