168301320 has 192 divisors, whose sum is σ = 566516160. Its totient is φ = 39959040.

The previous prime is 168301319. The next prime is 168301321. The reversal of 168301320 is 23103861.

It is an interprime number because it is at equal distance from previous prime (168301319) and next prime (168301321).

It is a super-3 number, since 3×168301320³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (168301321) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 972754 + ... + 972926.

It is an arithmetic number, because the mean of its divisors is an integer number (2950605).

Almost surely, 2^168301320 is an apocalyptic number.

168301320 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 168301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283258080).

168301320 is an abundant number, since it is smaller than the sum of its proper divisors (398214840).

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

168301320 is a wasteful number, since it uses less digits than its factorization.

168301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 168301320 is about 12973.0998608659. The cubic root of 168301320 is about 552.1145267514.

The spelling of 168301320 in words is "one hundred sixty-eight million, three hundred one thousand, three hundred twenty".