11705632 has 48 divisors (see below), whose sum is σ = 24216192. Its totient is φ = 5564160.

The previous prime is 11705609. The next prime is 11705651. The reversal of 11705632 is 23650711.

It is a junction number, because it is equal to n+sod(n) for n = 11705597 and 11705606.

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, 64582 + ... + 64762.

It is an arithmetic number, because the mean of its divisors is an integer number (504504).

Almost surely, 2^11705632 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 11705632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12108096).

11705632 is an abundant number, since it is smaller than the sum of its proper divisors (12510560).

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

11705632 is a wasteful number, since it uses less digits than its factorization.

11705632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 11705632 is about 3421.3494413754. The cubic root of 11705632 is about 227.0552887249.

The spelling of 11705632 in words is "eleven million, seven hundred five thousand, six hundred thirty-two".