168645200 has 90 divisors (see below), whose sum is σ = 424083534. Its totient is φ = 64444160.

The previous prime is 168645181. The next prime is 168645221. The reversal of 168645200 is 2546861.

It can be written as a sum of positive squares in 3 ways, for example, as 9784384 + 158860816 = 3128^2 + 12604^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 211202 + ... + 211998.

Almost surely, 2^168645200 is an apocalyptic number.

168645200 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 168645200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212041767).

168645200 is an abundant number, since it is smaller than the sum of its proper divisors (255438334).

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

168645200 is a wasteful number, since it uses less digits than its factorization.

168645200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 168645200 is about 12986.3466764137. The cubic root of 168645200 is about 552.4903051062.

The spelling of 168645200 in words is "one hundred sixty-eight million, six hundred forty-five thousand, two hundred".