168391980 has 96 divisors (see below), whose sum is σ = 542001600. Its totient is φ = 43352064.

The previous prime is 168391963. The next prime is 168392017. The reversal of 168391980 is 89193861.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10284 + ... + 21036.

It is an arithmetic number, because the mean of its divisors is an integer number (5645850).

Almost surely, 2^168391980 is an apocalyptic number.

168391980 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 168391980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271000800).

168391980 is an abundant number, since it is smaller than the sum of its proper divisors (373609620).

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

168391980 is a wasteful number, since it uses less digits than its factorization.

168391980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10800 (or 10792 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 168391980 is about 12976.5935437618. The cubic root of 168391980 is about 552.2136460332.

The spelling of 168391980 in words is "one hundred sixty-eight million, three hundred ninety-one thousand, nine hundred eighty".