11763240 has 64 divisors (see below), whose sum is σ = 35890560. Its totient is φ = 3083520.

The previous prime is 11763239. The next prime is 11763251. The reversal of 11763240 is 4236711.

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 11763240.

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 15 ways as a sum of consecutive naturals, for example, 6517 + ... + 8123.

It is an arithmetic number, because the mean of its divisors is an integer number (560790).

Almost surely, 2^11763240 is an apocalyptic number.

11763240 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 11763240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17945280).

11763240 is an abundant number, since it is smaller than the sum of its proper divisors (24127320).

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

11763240 is a wasteful number, since it uses less digits than its factorization.

11763240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 11763240 is about 3429.7580089563. The cubic root of 11763240 is about 227.4271553600.

Adding to 11763240 its reverse (4236711), we get a palindrome (15999951).

The spelling of 11763240 in words is "eleven million, seven hundred sixty-three thousand, two hundred forty".