168368720 has 80 divisors (see below), whose sum is σ = 426170640. Its totient is φ = 61489152.

The previous prime is 168368689. The next prime is 168368729. The reversal of 168368720 is 27863861.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12418576 + 155950144 = 3524^2 + 12488^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168368729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100046 + ... + 101714.

It is an arithmetic number, because the mean of its divisors is an integer number (5327133).

Almost surely, 2^168368720 is an apocalyptic number.

168368720 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 168368720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213085320).

168368720 is an abundant number, since it is smaller than the sum of its proper divisors (257801920).

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

168368720 is a wasteful number, since it uses less digits than its factorization.

168368720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1786 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 168368720 is about 12975.6972837686. The cubic root of 168368720 is about 552.1882190882.

The spelling of 168368720 in words is "one hundred sixty-eight million, three hundred sixty-eight thousand, seven hundred twenty".