6459768 has 72 divisors (see below), whose sum is σ = 20362680. Its totient is φ = 1844640.

The previous prime is 6459767. The next prime is 6459773. The reversal of 6459768 is 8679546.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×6459768² = 83457205227648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6459767) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2613 + ... + 4443.

It is an arithmetic number, because the mean of its divisors is an integer number (282815).

Almost surely, 2^6459768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6459768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10181340).

6459768 is an abundant number, since it is smaller than the sum of its proper divisors (13902912).

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

6459768 is a wasteful number, since it uses less digits than its factorization.

6459768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1857 (or 1843 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 6459768 is about 2541.6073654284. The cubic root of 6459768 is about 186.2397186643.

It can be divided in two parts, 6459 and 768, that added together give a palindrome (7227).

The spelling of 6459768 in words is "six million, four hundred fifty-nine thousand, seven hundred sixty-eight".