6166080 has 84 divisors (see below), whose sum is σ = 21218652. Its totient is φ = 1643520.

The previous prime is 6166057. The next prime is 6166081. The reversal of 6166080 is 806616.

It can be written as a sum of positive squares in 2 ways, for example, as 4359744 + 1806336 = 2088^2 + 1344^2 .

It is not an unprimeable number, because it can be changed into a prime (6166081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1810 + ... + 3950.

It is an arithmetic number, because the mean of its divisors is an integer number (252603).

Almost surely, 2^6166080 is an apocalyptic number.

6166080 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 6166080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10609326).

6166080 is an abundant number, since it is smaller than the sum of its proper divisors (15052572).

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

6166080 is a wasteful number, since it uses less digits than its factorization.

6166080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2151 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6166080 is about 2483.1592780166. The cubic root of 6166080 is about 183.3734200680.

The spelling of 6166080 in words is "six million, one hundred sixty-six thousand, eighty".