168691680 has 192 divisors, whose sum is σ = 625423680. Its totient is φ = 42319872.

The previous prime is 168691673. The next prime is 168691681. The reversal of 168691680 is 86196861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168691681) by changing a digit.

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, 72292 + ... + 74588.

It is an arithmetic number, because the mean of its divisors is an integer number (3257415).

Almost surely, 2^168691680 is an apocalyptic number.

168691680 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 168691680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312711840).

168691680 is an abundant number, since it is smaller than the sum of its proper divisors (456732000).

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

168691680 is a wasteful number, since it uses less digits than its factorization.

168691680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2324 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 168691680 is about 12988.1361249411. The cubic root of 168691680 is about 552.5410573967.

The spelling of 168691680 in words is "one hundred sixty-eight million, six hundred ninety-one thousand, six hundred eighty".