168030720 has 640 divisors, whose sum is σ = 742452480. Its totient is φ = 35389440.

The previous prime is 168030719. The next prime is 168030749. The reversal of 168030720 is 27030861.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9884152 + ... + 9884168.

It is an arithmetic number, because the mean of its divisors is an integer number (1160082).

Almost surely, 2^168030720 is an apocalyptic number.

168030720 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 168030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371226240).

168030720 is an abundant number, since it is smaller than the sum of its proper divisors (574421760).

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

168030720 is a wasteful number, since it uses less digits than its factorization.

168030720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 168030720 is about 12962.6663923747. Note that the first 3 decimals coincide. The cubic root of 168030720 is about 551.8184658259.

It can be divided in two parts, 1680 and 30720, that added together give a square (32400 = 180²).

The spelling of 168030720 in words is "one hundred sixty-eight million, thirty thousand, seven hundred twenty".