32085240 has 128 divisors (see below), whose sum is σ = 106444800. Its totient is φ = 7672320.

The previous prime is 32085199. The next prime is 32085241. The reversal of 32085240 is 4258023.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 32085240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32085241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143769 + ... + 143991.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 2^32085240 is an apocalyptic number.

32085240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32085240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400).

32085240 is an abundant number, since it is smaller than the sum of its proper divisors (74359560).

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

32085240 is a wasteful number, since it uses less digits than its factorization.

32085240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 32085240 is about 5664.3834615958. The cubic root of 32085240 is about 317.7618564334.

It can be divided in two parts, 3208 and 5240, that added together give a palindrome (8448).

The spelling of 32085240 in words is "thirty-two million, eighty-five thousand, two hundred forty".