11963840 has 112 divisors (see below), whose sum is σ = 33528000. Its totient is φ = 4064256.

The previous prime is 11963821. The next prime is 11963857. The reversal of 11963840 is 4836911.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 11963797 and 11963806.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 109706 + ... + 109814.

Almost surely, 2^11963840 is an apocalyptic number.

11963840 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 11963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16764000).

11963840 is an abundant number, since it is smaller than the sum of its proper divisors (21564160).

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

11963840 is an equidigital number, since it uses as much as digits as its factorization.

11963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 11963840 is about 3458.8784309368. The cubic root of 11963840 is about 228.7126567685.

The spelling of 11963840 in words is "eleven million, nine hundred sixty-three thousand, eight hundred forty".