11790240 has 288 divisors, whose sum is σ = 48263040. Its totient is φ = 2365440.

The previous prime is 11790227. The next prime is 11790277. The reversal of 11790240 is 4209711.

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 11790240.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406546 + ... + 406574.

It is an arithmetic number, because the mean of its divisors is an integer number (167580).

Almost surely, 2^11790240 is an apocalyptic number.

11790240 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 11790240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

11790240 is an abundant number, since it is smaller than the sum of its proper divisors (36472800).

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

11790240 is a wasteful number, since it uses less digits than its factorization.

11790240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 11790240 is about 3433.6918906623. The cubic root of 11790240 is about 227.6010258550.

Adding to 11790240 its reverse (4209711), we get a palindrome (15999951).

The spelling of 11790240 in words is "eleven million, seven hundred ninety thousand, two hundred forty".