32544640 has 64 divisors (see below), whose sum is σ = 78495120. Its totient is φ = 12902400.

The previous prime is 32544607. The next prime is 32544643. The reversal of 32544640 is 4644523.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 32544599 and 32544608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32544643) 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 7 ways as a sum of consecutive naturals, for example, 134920 + ... + 135160.

Almost surely, 2^32544640 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 32544640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39247560).

32544640 is an abundant number, since it is smaller than the sum of its proper divisors (45950480).

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

32544640 is a wasteful number, since it uses less digits than its factorization.

32544640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 32544640 is about 5704.7909690014. The cubic root of 32544640 is about 319.2712583502.

The spelling of 32544640 in words is "thirty-two million, five hundred forty-four thousand, six hundred forty".