168007680 has 144 divisors (see below), whose sum is σ = 582603840. Its totient is φ = 44777472.

The previous prime is 168007673. The next prime is 168007699. The reversal of 168007680 is 86700861.

It is a tau number, because it is divible by the number of its divisors (144).

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91249 + ... + 93071.

It is an arithmetic number, because the mean of its divisors is an integer number (4045860).

Almost surely, 2^168007680 is an apocalyptic number.

168007680 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 168007680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291301920).

168007680 is an abundant number, since it is smaller than the sum of its proper divisors (414596160).

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

168007680 is a wasteful number, since it uses less digits than its factorization.

168007680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 168007680 is about 12961.7776558619. Note that the first 3 decimals coincide. The cubic root of 168007680 is about 551.7932432980.

The spelling of 168007680 in words is "one hundred sixty-eight million, seven thousand, six hundred eighty".