168214200 has 288 divisors, whose sum is σ = 657041280. Its totient is φ = 34848000.

The previous prime is 168214171. The next prime is 168214213. The reversal of 168214200 is 2412861.

168214200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 508035 + ... + 508365.

Almost surely, 2^168214200 is an apocalyptic number.

168214200 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 168214200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328520640).

168214200 is an abundant number, since it is smaller than the sum of its proper divisors (488827080).

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

168214200 is a wasteful number, since it uses less digits than its factorization.

168214200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 168214200 is about 12969.7417090704. The cubic root of 168214200 is about 552.0192442356.

The spelling of 168214200 in words is "one hundred sixty-eight million, two hundred fourteen thousand, two hundred".