32048640 has 240 divisors, whose sum is σ = 120648528. Its totient is φ = 7815168.

The previous prime is 32048617. The next prime is 32048647. The reversal of 32048640 is 4684023.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32048647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 299467 + ... + 299573.

Almost surely, 2^32048640 is an apocalyptic number.

32048640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60324264).

32048640 is an abundant number, since it is smaller than the sum of its proper divisors (88599888).

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

32048640 is a wasteful number, since it uses less digits than its factorization.

32048640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 32048640 is about 5661.1518262629. The cubic root of 32048640 is about 317.6409856016.

The spelling of 32048640 in words is "thirty-two million, forty-eight thousand, six hundred forty".