6838560 has 96 divisors (see below), whose sum is σ = 23950080. Its totient is φ = 1822464.

The previous prime is 6838553. The next prime is 6838561. The reversal of 6838560 is 658386.

6838560 is a `hidden beast` number, since 68 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (6838561) 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, 3529 + ... + 5111.

It is an arithmetic number, because the mean of its divisors is an integer number (249480).

Almost surely, 2^6838560 is an apocalyptic number.

6838560 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 6838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975040).

6838560 is an abundant number, since it is smaller than the sum of its proper divisors (17111520).

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

6838560 is a wasteful number, since it uses less digits than its factorization.

6838560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6838560 is about 2615.0640527528. The cubic root of 6838560 is about 189.8110772152.

The spelling of 6838560 in words is "six million, eight hundred thirty-eight thousand, five hundred sixty".