32241168 has 60 divisors (see below), whose sum is σ = 90802348. Its totient is φ = 10679040.

The previous prime is 32241161. The next prime is 32241173. The reversal of 32241168 is 86114223.

It can be written as a sum of positive squares in 2 ways, for example, as 9659664 + 22581504 = 3108^2 + 4752^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (32241161) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25446 + ... + 26682.

Almost surely, 2^32241168 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 32241168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45401174).

32241168 is an abundant number, since it is smaller than the sum of its proper divisors (58561180).

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

32241168 is a wasteful number, since it uses less digits than its factorization.

32241168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1423 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 32241168 is about 5678.1306783131. The cubic root of 32241168 is about 318.2757783309.

The spelling of 32241168 in words is "thirty-two million, two hundred forty-one thousand, one hundred sixty-eight".