6642160 has 80 divisors (see below), whose sum is σ = 18302400. Its totient is φ = 2193408.

The previous prime is 6642151. The next prime is 6642169. The reversal of 6642160 is 612466.

It is a happy number.

6642160 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (6642151) and next prime (6642169).

It is a tau number, because it is divible by the number of its divisors (80).

6642160 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6642169) 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, 16036 + ... + 16444.

It is an arithmetic number, because the mean of its divisors is an integer number (228780).

Almost surely, 2^6642160 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 6642160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9151200).

6642160 is an abundant number, since it is smaller than the sum of its proper divisors (11660240).

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

6642160 is a wasteful number, since it uses less digits than its factorization.

6642160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 6642160 is about 2577.2388325493. The cubic root of 6642160 is about 187.9763060527.

The spelling of 6642160 in words is "six million, six hundred forty-two thousand, one hundred sixty".