168986400 has 288 divisors, whose sum is σ = 619835328. Its totient is φ = 39628800.

The previous prime is 168986387. The next prime is 168986401. The reversal of 168986400 is 4689861.

It is not an unprimeable number, because it can be changed into a prime (168986401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 976714 + ... + 976886.

It is an arithmetic number, because the mean of its divisors is an integer number (2152206).

Almost surely, 2^168986400 is an apocalyptic number.

168986400 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 168986400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309917664).

168986400 is an abundant number, since it is smaller than the sum of its proper divisors (450848928).

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

168986400 is a wasteful number, since it uses less digits than its factorization.

168986400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 168986400 is about 12999.4769125531. The cubic root of 168986400 is about 552.8626503315.

The spelling of 168986400 in words is "one hundred sixty-eight million, nine hundred eighty-six thousand, four hundred".