11786640 has 80 divisors (see below), whose sum is σ = 37134528. Its totient is φ = 3091968.

The previous prime is 11786633. The next prime is 11786647. The reversal of 11786640 is 4668711.

It is a happy number.

11786640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11786633) and next prime (11786647).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11786647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15714 + ... + 16446.

Almost surely, 2^11786640 is an apocalyptic number.

11786640 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 11786640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18567264).

11786640 is an abundant number, since it is smaller than the sum of its proper divisors (25347888).

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

11786640 is a wasteful number, since it uses less digits than its factorization.

11786640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 11786640 is about 3433.1676335419. The cubic root of 11786640 is about 227.5778584696.

The spelling of 11786640 in words is "eleven million, seven hundred eighty-six thousand, six hundred forty".