6513840 has 120 divisors (see below), whose sum is σ = 22342320. Its totient is φ = 1700352.

The previous prime is 6513817. The next prime is 6513847. The reversal of 6513840 is 483156.

6513840 is a `hidden beast` number, since 651 + 3 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×6513840² = 84860223091200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6513847) 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, 59706 + ... + 59814.

It is an arithmetic number, because the mean of its divisors is an integer number (186186).

Almost surely, 2^6513840 is an apocalyptic number.

6513840 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 6513840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11171160).

6513840 is an abundant number, since it is smaller than the sum of its proper divisors (15828480).

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

6513840 is a wasteful number, since it uses less digits than its factorization.

6513840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6513840 is about 2552.2225608281. Note that the first 3 decimals coincide. The cubic root of 6513840 is about 186.7579202353.

Adding to 6513840 its reverse (483156), we get a palindrome (6996996).

The spelling of 6513840 in words is "six million, five hundred thirteen thousand, eight hundred forty".