168028560 has 160 divisors (see below), whose sum is σ = 661505280. Its totient is φ = 38403072.

The previous prime is 168028559. The next prime is 168028577. The reversal of 168028560 is 65820861.

It is a happy number.

168028560 is a `hidden beast` number, since 16 + 80 + 2 + 8 + 560 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9564 + ... + 20676.

It is an arithmetic number, because the mean of its divisors is an integer number (4134408).

Almost surely, 2^168028560 is an apocalyptic number.

168028560 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 168028560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330752640).

168028560 is an abundant number, since it is smaller than the sum of its proper divisors (493476720).

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

168028560 is a wasteful number, since it uses less digits than its factorization.

168028560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11142 (or 11130 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 168028560 is about 12962.5830759151. The cubic root of 168028560 is about 551.8161013119.

The spelling of 168028560 in words is "one hundred sixty-eight million, twenty-eight thousand, five hundred sixty".