168382080 has 384 divisors, whose sum is σ = 641571840. Its totient is φ = 40550400.

The previous prime is 168382073. The next prime is 168382087. The reversal of 168382080 is 80283861.

It is an interprime number because it is at equal distance from previous prime (168382073) and next prime (168382087).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168382087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4106860 + ... + 4106900.

It is an arithmetic number, because the mean of its divisors is an integer number (1670760).

Almost surely, 2^168382080 is an apocalyptic number.

168382080 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 168382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320785920).

168382080 is an abundant number, since it is smaller than the sum of its proper divisors (473189760).

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

168382080 is a wasteful number, since it uses less digits than its factorization.

168382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 168382080 is about 12976.2120821139. The cubic root of 168382080 is about 552.2028240170.

The spelling of 168382080 in words is "one hundred sixty-eight million, three hundred eighty-two thousand, eighty".