168022400 has 192 divisors, whose sum is σ = 511738080. Its totient is φ = 53084160.

The previous prime is 168022367. The next prime is 168022403. The reversal of 168022400 is 4220861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168022403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 290912 + ... + 291488.

Almost surely, 2^168022400 is an apocalyptic number.

168022400 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 168022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255869040).

168022400 is an abundant number, since it is smaller than the sum of its proper divisors (343715680).

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

168022400 is a wasteful number, since it uses less digits than its factorization.

168022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 168022400 is about 12962.3454667741. The cubic root of 168022400 is about 551.8093579568.

The spelling of 168022400 in words is "one hundred sixty-eight million, twenty-two thousand, four hundred".