6438960 has 160 divisors (see below), whose sum is σ = 24284160. Its totient is φ = 1555200.

The previous prime is 6438959. The next prime is 6438961. The reversal of 6438960 is 698346.

6438960 is a `hidden beast` number, since 643 + 8 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6438959) and next prime (6438961).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6438961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23625 + ... + 23895.

It is an arithmetic number, because the mean of its divisors is an integer number (151776).

Almost surely, 2^6438960 is an apocalyptic number.

6438960 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 6438960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12142080).

6438960 is an abundant number, since it is smaller than the sum of its proper divisors (17845200).

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

6438960 is a wasteful number, since it uses less digits than its factorization.

6438960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6438960 is about 2537.5105911109. The cubic root of 6438960 is about 186.0395337402.

The spelling of 6438960 in words is "six million, four hundred thirty-eight thousand, nine hundred sixty".