11763840 has 128 divisors (see below), whose sum is σ = 40979520. Its totient is φ = 2846720.

The previous prime is 11763823. The next prime is 11763841. The reversal of 11763840 is 4836711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11763798 and 11763807.

It is not an unprimeable number, because it can be changed into a prime (11763841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20842 + ... + 21398.

Almost surely, 2^11763840 is an apocalyptic number.

11763840 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 11763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20489760).

11763840 is an abundant number, since it is smaller than the sum of its proper divisors (29215680).

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

11763840 is a wasteful number, since it uses less digits than its factorization.

11763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 11763840 is about 3429.8454775689. The cubic root of 11763840 is about 227.4310220377.

The spelling of 11763840 in words is "eleven million, seven hundred sixty-three thousand, eight hundred forty".