6617160 has 128 divisors (see below), whose sum is σ = 24105600. Its totient is φ = 1601280.

The previous prime is 6617159. The next prime is 6617161. The reversal of 6617160 is 617166.

It is an interprime number because it is at equal distance from previous prime (6617159) and next prime (6617161).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6617161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11602 + ... + 12158.

It is an arithmetic number, because the mean of its divisors is an integer number (188325).

Almost surely, 2^6617160 is an apocalyptic number.

6617160 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 6617160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052800).

6617160 is an abundant number, since it is smaller than the sum of its proper divisors (17488440).

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

6617160 is a wasteful number, since it uses less digits than its factorization.

6617160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 6617160 is about 2572.3841081767. The cubic root of 6617160 is about 187.7401722276.

The spelling of 6617160 in words is "six million, six hundred seventeen thousand, one hundred sixty".