32241264 has 80 divisors (see below), whose sum is σ = 91601280. Its totient is φ = 9690880.

The previous prime is 32241263. The next prime is 32241269. The reversal of 32241264 is 46214223.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32241263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119722 + ... + 119990.

It is an arithmetic number, because the mean of its divisors is an integer number (1145016).

Almost surely, 2^32241264 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 32241264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45800640).

32241264 is an abundant number, since it is smaller than the sum of its proper divisors (59360016).

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

32241264 is a wasteful number, since it uses less digits than its factorization.

32241264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 512 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 32241264 is about 5678.1391317931. The cubic root of 32241264 is about 318.2760942256.

Adding to 32241264 its reverse (46214223), we get a palindrome (78455487).

The spelling of 32241264 in words is "thirty-two million, two hundred forty-one thousand, two hundred sixty-four".