32485640 has 128 divisors (see below), whose sum is σ = 87246720. Its totient is φ = 10752000.

The previous prime is 32485639. The next prime is 32485681. The reversal of 32485640 is 4658423.

It is a junction number, because it is equal to n+sod(n) for n = 32485597 and 32485606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321590 + ... + 321690.

It is an arithmetic number, because the mean of its divisors is an integer number (681615).

Almost surely, 2^32485640 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 32485640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43623360).

32485640 is an abundant number, since it is smaller than the sum of its proper divisors (54761080).

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

32485640 is a wasteful number, since it uses less digits than its factorization.

32485640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 32485640 is about 5699.6175310278. The cubic root of 32485640 is about 319.0782066026.

It can be divided in two parts, 3248 and 5640, that added together give a palindrome (8888).

The spelling of 32485640 in words is "thirty-two million, four hundred eighty-five thousand, six hundred forty".