11517864 has 64 divisors (see below), whose sum is σ = 30205440. Its totient is φ = 3655680.

The previous prime is 11517859. The next prime is 11517881. The reversal of 11517864 is 46871511.

It is a happy number.

It is a super-2 number, since 2×11517864² = 265322382244992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84004 + ... + 84140.

It is an arithmetic number, because the mean of its divisors is an integer number (471960).

Almost surely, 2^11517864 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 11517864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15102720).

11517864 is an abundant number, since it is smaller than the sum of its proper divisors (18687576).

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

11517864 is a wasteful number, since it uses less digits than its factorization.

11517864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 286 counting only the distinct ones).

The product of its digits is 6720, while the sum is 33.

The square root of 11517864 is about 3393.7978725905. The cubic root of 11517864 is about 225.8346873675.

The spelling of 11517864 in words is "eleven million, five hundred seventeen thousand, eight hundred sixty-four".