11635968 has 72 divisors (see below), whose sum is σ = 31477600. Its totient is φ = 3815424.

The previous prime is 11635937. The next prime is 11635979. The reversal of 11635968 is 86953611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83643 + ... + 83781.

Almost surely, 2^11635968 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 11635968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15738800).

11635968 is an abundant number, since it is smaller than the sum of its proper divisors (19841632).

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

11635968 is a wasteful number, since it uses less digits than its factorization.

11635968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 253 counting only the distinct ones).

The product of its digits is 38880, while the sum is 39.

The square root of 11635968 is about 3411.1534706020. The cubic root of 11635968 is about 226.6039657406.

The spelling of 11635968 in words is "eleven million, six hundred thirty-five thousand, nine hundred sixty-eight".