168021900 has 108 divisors (see below), whose sum is σ = 549621072. Its totient is φ = 42852480.

The previous prime is 168021881. The next prime is 168021907. The reversal of 168021900 is 9120861.

It is a super-2 number, since 2×168021900² = 56462717759220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (168021907) 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 35 ways as a sum of consecutive naturals, for example, 16642 + ... + 24758.

It is an arithmetic number, because the mean of its divisors is an integer number (5089084).

Almost surely, 2^168021900 is an apocalyptic number.

168021900 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 168021900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274810536).

168021900 is an abundant number, since it is smaller than the sum of its proper divisors (381599172).

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

168021900 is a wasteful number, since it uses less digits than its factorization.

168021900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8160 (or 8150 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 168021900 is about 12962.3261801268. The cubic root of 168021900 is about 551.8088105993.

It can be divided in two parts, 168021 and 900, that added together give a square (168921 = 411²).

The spelling of 168021900 in words is "one hundred sixty-eight million, twenty-one thousand, nine hundred".