32800640 has 64 divisors (see below), whose sum is σ = 79976160. Its totient is φ = 12859392.

The previous prime is 32800613. The next prime is 32800643. The reversal of 32800640 is 4600823.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32800643) 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, 33437 + ... + 34403.

Almost surely, 2^32800640 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 32800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39988080).

32800640 is an abundant number, since it is smaller than the sum of its proper divisors (47175520).

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

32800640 is an equidigital number, since it uses as much as digits as its factorization.

32800640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 32800640 is about 5727.1842994616. The cubic root of 32800640 is about 320.1062147412.

The spelling of 32800640 in words is "thirty-two million, eight hundred thousand, six hundred forty".