168426720 has 576 divisors, whose sum is σ = 754790400. Its totient is φ = 33868800.

The previous prime is 168426719. The next prime is 168426721. The reversal of 168426720 is 27624861.

168426720 is a `hidden beast` number, since 168 + 426 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (168426719) and next prime (168426721).

It is a super-3 number, since 3×168426720³ (a number of 26 digits) contains 333 as substring.

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 (168426721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5433105 + ... + 5433135.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 2^168426720 is an apocalyptic number.

168426720 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 168426720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377395200).

168426720 is an abundant number, since it is smaller than the sum of its proper divisors (586363680).

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

168426720 is a wasteful number, since it uses less digits than its factorization.

168426720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 168426720 is about 12977.9320386570. The cubic root of 168426720 is about 552.2516181167.

The spelling of 168426720 in words is "one hundred sixty-eight million, four hundred twenty-six thousand, seven hundred twenty".