11643960 has 64 divisors (see below), whose sum is σ = 36777600. Its totient is φ = 2941056.

The previous prime is 11643953. The next prime is 11643971. The reversal of 11643960 is 6934611.

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

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, 274 + ... + 4833.

It is an arithmetic number, because the mean of its divisors is an integer number (574650).

Almost surely, 2^11643960 is an apocalyptic number.

11643960 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 11643960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18388800).

11643960 is an abundant number, since it is smaller than the sum of its proper divisors (25133640).

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

11643960 is a wasteful number, since it uses less digits than its factorization.

11643960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 11643960 is about 3412.3247207732. The cubic root of 11643960 is about 226.6558337768.

The spelling of 11643960 in words is "eleven million, six hundred forty-three thousand, nine hundred sixty".