168125760 has 448 divisors, whose sum is σ = 680313600. Its totient is φ = 38707200.

The previous prime is 168125753. The next prime is 168125761. The reversal of 168125760 is 67521861.

168125760 is a `hidden beast` number, since 1 + 6 + 81 + 2 + 576 + 0 = 666.

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 (168125761) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2756130 + ... + 2756190.

Almost surely, 2^168125760 is an apocalyptic number.

168125760 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 168125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340156800).

168125760 is an abundant number, since it is smaller than the sum of its proper divisors (512187840).

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

168125760 is a wasteful number, since it uses less digits than its factorization.

168125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 168125760 is about 12966.3317865925. The cubic root of 168125760 is about 551.9224843893.

The spelling of 168125760 in words is "one hundred sixty-eight million, one hundred twenty-five thousand, seven hundred sixty".