11875640 has 96 divisors (see below), whose sum is σ = 31888080. Its totient is φ = 3967488.

The previous prime is 11875621. The next prime is 11875651. The reversal of 11875640 is 4657811.

It is a happy number.

11875640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11875597 and 11875606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143039 + ... + 143121.

Almost surely, 2^11875640 is an apocalyptic number.

11875640 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 11875640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15944040).

11875640 is an abundant number, since it is smaller than the sum of its proper divisors (20012440).

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

11875640 is a wasteful number, since it uses less digits than its factorization.

11875640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 11875640 is about 3446.1050477314. The cubic root of 11875640 is about 228.1492303030.

The spelling of 11875640 in words is "eleven million, eight hundred seventy-five thousand, six hundred forty".