8705632 has 48 divisors (see below), whose sum is σ = 19559232. Its totient is φ = 3778560.

The previous prime is 8705617. The next prime is 8705639. The reversal of 8705632 is 2365078.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 8705594 and 8705603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8705639) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6457 + ... + 7687.

It is an arithmetic number, because the mean of its divisors is an integer number (407484).

Almost surely, 2^8705632 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 8705632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9779616).

8705632 is an abundant number, since it is smaller than the sum of its proper divisors (10853600).

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

8705632 is a wasteful number, since it uses less digits than its factorization.

8705632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 8705632 is about 2950.5307997037. The cubic root of 8705632 is about 205.7153828572.

The spelling of 8705632 in words is "eight million, seven hundred five thousand, six hundred thirty-two".