32768560 has 80 divisors (see below), whose sum is σ = 86780160. Its totient is φ = 11390720.

The previous prime is 32768551. The next prime is 32768591. The reversal of 32768560 is 6586723.

32768560 is a nontrivial binomial coefficient, being equal to C(8096, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

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, 19431 + ... + 21049.

It is an arithmetic number, because the mean of its divisors is an integer number (1084752).

Almost surely, 2^32768560 is an apocalyptic number.

32768560 is the 8095-th triangular number and also the 4048-th hexagonal number.

32768560 is the 2699-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32768560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43390080).

32768560 is an abundant number, since it is smaller than the sum of its proper divisors (54011600).

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

32768560 is a wasteful number, since it uses less digits than its factorization.

32768560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 32768560 is about 5724.3829361775. The cubic root of 32768560 is about 320.0018229063.

The spelling of 32768560 in words is "thirty-two million, seven hundred sixty-eight thousand, five hundred sixty".