168856920 has 192 divisors, whose sum is σ = 599018400. Its totient is φ = 42301440.

The previous prime is 168856847. The next prime is 168856931. The reversal of 168856920 is 29658861.

168856920 is a `hidden beast` number, since 1 + 6 + 88 + 569 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311850 + ... + 312390.

Almost surely, 2^168856920 is an apocalyptic number.

168856920 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 168856920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299509200).

168856920 is an abundant number, since it is smaller than the sum of its proper divisors (430161480).

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

168856920 is a wasteful number, since it uses less digits than its factorization.

168856920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 168856920 is about 12994.4957578199. The cubic root of 168856920 is about 552.7214102734.

The spelling of 168856920 in words is "one hundred sixty-eight million, eight hundred fifty-six thousand, nine hundred twenty".