32145640 has 64 divisors (see below), whose sum is σ = 78518160. Its totient is φ = 11796480.

The previous prime is 32145629. The next prime is 32145647. The reversal of 32145640 is 4654123.

It can be written as a sum of positive squares in 8 ways, for example, as 14455204 + 17690436 = 3802^2 + 4206^2 .

It is not an unprimeable number, because it can be changed into a prime (32145647) 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 15 ways as a sum of consecutive naturals, for example, 27304 + ... + 28456.

Almost surely, 2^32145640 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 32145640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39259080).

32145640 is an abundant number, since it is smaller than the sum of its proper divisors (46372520).

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

32145640 is a wasteful number, since it uses less digits than its factorization.

32145640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 32145640 is about 5669.7125147577. The cubic root of 32145640 is about 317.9611254775.

Adding to 32145640 its reverse (4654123), we get a palindrome (36799763).

The spelling of 32145640 in words is "thirty-two million, one hundred forty-five thousand, six hundred forty".