6493760 has 112 divisors (see below), whose sum is σ = 19117056. Its totient is φ = 2045952.

The previous prime is 6493741. The next prime is 6493769. The reversal of 6493760 is 673946.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 6493760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6493769) 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, 29009 + ... + 29231.

It is an arithmetic number, because the mean of its divisors is an integer number (170688).

Almost surely, 2^6493760 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 6493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9558528).

6493760 is an abundant number, since it is smaller than the sum of its proper divisors (12623296).

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

6493760 is a wasteful number, since it uses less digits than its factorization.

6493760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 6493760 is about 2548.2856982685. The cubic root of 6493760 is about 186.5658185417.

The spelling of 6493760 in words is "six million, four hundred ninety-three thousand, seven hundred sixty".