6368640 has 128 divisors (see below), whose sum is σ = 21150720. Its totient is φ = 1628160.

The previous prime is 6368627. The next prime is 6368647. The reversal of 6368640 is 468636.

6368640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6368647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59467 + ... + 59573.

It is an arithmetic number, because the mean of its divisors is an integer number (165240).

Almost surely, 2^6368640 is an apocalyptic number.

6368640 is a gapful number since it is divisible by the number (60) 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 6368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10575360).

6368640 is an abundant number, since it is smaller than the sum of its proper divisors (14782080).

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

6368640 is a wasteful number, since it uses less digits than its factorization.

6368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 6368640 is about 2523.6164526330. The cubic root of 6368640 is about 185.3598062122.

The spelling of 6368640 in words is "six million, three hundred sixty-eight thousand, six hundred forty".