168865920 has 192 divisors, whose sum is σ = 614203200. Its totient is φ = 42633216.

The previous prime is 168865909. The next prime is 168865933. The reversal of 168865920 is 29568861.

168865920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108669 + ... + 110211.

It is an arithmetic number, because the mean of its divisors is an integer number (3198975).

Almost surely, 2^168865920 is an apocalyptic number.

168865920 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 168865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307101600).

168865920 is an abundant number, since it is smaller than the sum of its proper divisors (445337280).

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

168865920 is a wasteful number, since it uses less digits than its factorization.

168865920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1587 (or 1572 counting only the distinct ones).

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

The square root of 168865920 is about 12994.8420536765. The cubic root of 168865920 is about 552.7312300355.

The spelling of 168865920 in words is "one hundred sixty-eight million, eight hundred sixty-five thousand, nine hundred twenty".