32085280 has 48 divisors (see below), whose sum is σ = 76446720. Its totient is φ = 12724992.

The previous prime is 32085271. The next prime is 32085283. The reversal of 32085280 is 8258023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32085283) by changing a digit.

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, 19531 + ... + 21109.

It is an arithmetic number, because the mean of its divisors is an integer number (1592640).

Almost surely, 2^32085280 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 32085280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38223360).

32085280 is an abundant number, since it is smaller than the sum of its proper divisors (44361440).

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

32085280 is a wasteful number, since it uses less digits than its factorization.

32085280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1713 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 32085280 is about 5664.3869924291. The cubic root of 32085280 is about 317.7619884824.

The spelling of 32085280 in words is "thirty-two million, eighty-five thousand, two hundred eighty".