168967680 has 240 divisors, whose sum is σ = 629758800. Its totient is φ = 38535168.

The previous prime is 168967613. The next prime is 168967723. The reversal of 168967680 is 86769861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 376096 + ... + 376544.

It is an arithmetic number, because the mean of its divisors is an integer number (2623995).

Almost surely, 2^168967680 is an apocalyptic number.

168967680 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 168967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314879400).

168967680 is an abundant number, since it is smaller than the sum of its proper divisors (460791120).

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

168967680 is an equidigital number, since it uses as much as digits as its factorization.

168967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 168967680 is about 12998.7568636389. The cubic root of 168967680 is about 552.8422345446.

The spelling of 168967680 in words is "one hundred sixty-eight million, nine hundred sixty-seven thousand, six hundred eighty".