168661080 has 384 divisors, whose sum is σ = 690094080. Its totient is φ = 34836480.

The previous prime is 168661079. The next prime is 168661099. The reversal of 168661080 is 80166861.

168661080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 1327977 + ... + 1328103.

It is an arithmetic number, because the mean of its divisors is an integer number (1797120).

Almost surely, 2^168661080 is an apocalyptic number.

168661080 is a gapful number since it is divisible by the number (10) 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 168661080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345047040).

168661080 is an abundant number, since it is smaller than the sum of its proper divisors (521433000).

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

168661080 is a wasteful number, since it uses less digits than its factorization.

168661080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 168661080 is about 12986.9580733904. The cubic root of 168661080 is about 552.5076457928.

The spelling of 168661080 in words is "one hundred sixty-eight million, six hundred sixty-one thousand, eighty".