32568640 has 56 divisors (see below), whose sum is σ = 83530440. Its totient is φ = 12023808.

The previous prime is 32568629. The next prime is 32568643. The reversal of 32568640 is 4686523.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 215296 + 32353344 = 464^2 + 5688^2 .

It is a super-2 number, since 2×32568640² = 2121432622899200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 32568596 and 32568605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32568643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 246 + ... + 8074.

It is an arithmetic number, because the mean of its divisors is an integer number (1491615).

Almost surely, 2^32568640 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 32568640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41765220).

32568640 is an abundant number, since it is smaller than the sum of its proper divisors (50961800).

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

32568640 is a wasteful number, since it uses less digits than its factorization.

32568640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7859 (or 7849 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 32568640 is about 5706.8940764658. The cubic root of 32568640 is about 319.3497211161.

The spelling of 32568640 in words is "thirty-two million, five hundred sixty-eight thousand, six hundred forty".