6485760 has 108 divisors (see below), whose sum is σ = 22479912. Its totient is φ = 1726464.

The previous prime is 6485741. The next prime is 6485771. The reversal of 6485760 is 675846.

It is a happy number.

6485760 is a `hidden beast` number, since 648 + 5 + 7 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11239 + ... + 11801.

Almost surely, 2^6485760 is an apocalyptic number.

6485760 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 6485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11239956).

6485760 is an abundant number, since it is smaller than the sum of its proper divisors (15994152).

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

6485760 is a wasteful number, since it uses less digits than its factorization.

6485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6485760 is about 2546.7155318174. The cubic root of 6485760 is about 186.4891736870.

The spelling of 6485760 in words is "six million, four hundred eighty-five thousand, seven hundred sixty".