32538640 has 40 divisors (see below), whose sum is σ = 79637760. Its totient is φ = 12329856.

The previous prime is 32538637. The next prime is 32538641. The reversal of 32538640 is 4683523.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×32538640³ (a number of 24 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (32538641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9184 + ... + 12223.

It is an arithmetic number, because the mean of its divisors is an integer number (1990944).

Almost surely, 2^32538640 is an apocalyptic number.

It is an amenable number.

32538640 is an abundant number, since it is smaller than the sum of its proper divisors (47099120).

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

32538640 is a wasteful number, since it uses less digits than its factorization.

32538640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21439 (or 21433 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 32538640 is about 5704.2650709798. The cubic root of 32538640 is about 319.2516366318.

The spelling of 32538640 in words is "thirty-two million, five hundred thirty-eight thousand, six hundred forty".