11817768 has 64 divisors (see below), whose sum is σ = 31334400. Its totient is φ = 3706560.

The previous prime is 11817749. The next prime is 11817769. The reversal of 11817768 is 86771811.

It is not an unprimeable number, because it can be changed into a prime (11817769) 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, 43473 + ... + 43743.

It is an arithmetic number, because the mean of its divisors is an integer number (489600).

Almost surely, 2^11817768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11817768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15667200).

11817768 is an abundant number, since it is smaller than the sum of its proper divisors (19516632).

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

11817768 is a wasteful number, since it uses less digits than its factorization.

11817768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 378 counting only the distinct ones).

The product of its digits is 18816, while the sum is 39.

The square root of 11817768 is about 3437.6980670210. The cubic root of 11817768 is about 227.7780234161.

The spelling of 11817768 in words is "eleven million, eight hundred seventeen thousand, seven hundred sixty-eight".