168400 has 30 divisors (see below), whose sum is σ = 405542. Its totient is φ = 67200.

The previous prime is 168391. The next prime is 168409. The reversal of 168400 is 4861.

It is an interprime number because it is at equal distance from previous prime (168391) and next prime (168409).

It can be written as a sum of positive squares in 3 ways, for example, as 1936 + 166464 = 44^2 + 408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 190 + ... + 610.

2¹⁶⁸⁴⁰⁰ is an apocalyptic number.

168400 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 168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202771).

168400 is an abundant number, since it is smaller than the sum of its proper divisors (237142).

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

168400 is a wasteful number, since it uses less digits than its factorization.

168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 168400 is about 410.3656905737. The cubic root of 168400 is about 55.2222412649. Note that the first 4 decimals are identical.

The spelling of 168400 in words is "one hundred sixty-eight thousand, four hundred".