11836864 has 56 divisors (see below), whose sum is σ = 25987248. Its totient is φ = 5314560.

The previous prime is 11836859. The next prime is 11836919. The reversal of 11836864 is 46863811.

It is a super-2 number, since 2×11836864² = 280222698708992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33939 + ... + 34285.

It is an arithmetic number, because the mean of its divisors is an integer number (464058).

Almost surely, 2^11836864 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 11836864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12993624).

11836864 is an abundant number, since it is smaller than the sum of its proper divisors (14150384).

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

11836864 is a wasteful number, since it uses less digits than its factorization.

11836864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 403 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The square root of 11836864 is about 3440.4743858951. The cubic root of 11836864 is about 227.9006441008.

The spelling of 11836864 in words is "eleven million, eight hundred thirty-six thousand, eight hundred sixty-four".