6348160 has 128 divisors (see below), whose sum is σ = 18849600. Its totient is φ = 1990656.

The previous prime is 6348151. The next prime is 6348179. The reversal of 6348160 is 618436.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58186 + ... + 58294.

Almost surely, 2^6348160 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 6348160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9424800).

6348160 is an abundant number, since it is smaller than the sum of its proper divisors (12501440).

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

6348160 is a wasteful number, since it uses less digits than its factorization.

6348160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 6348160 is about 2519.5555163560. Note that the first 4 decimals coincide. The cubic root of 6348160 is about 185.1609021394.

The spelling of 6348160 in words is "six million, three hundred forty-eight thousand, one hundred sixty".