32085768 has 64 divisors (see below), whose sum is σ = 94248000. Its totient is φ = 8974080.

The previous prime is 32085727. The next prime is 32085773. The reversal of 32085768 is 86758023.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

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, 1243 + ... + 8106.

It is an arithmetic number, because the mean of its divisors is an integer number (1472625).

Almost surely, 2^32085768 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 32085768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47124000).

32085768 is an abundant number, since it is smaller than the sum of its proper divisors (62162232).

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

32085768 is a wasteful number, since it uses less digits than its factorization.

32085768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9382 (or 9378 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 32085768 is about 5664.4300684182. The cubic root of 32085768 is about 317.7635994710.

The spelling of 32085768 in words is "thirty-two million, eighty-five thousand, seven hundred sixty-eight".