168998400 has 300 divisors, whose sum is σ = 629312772. Its totient is φ = 44789760.

The previous prime is 168998381. The next prime is 168998413. The reversal of 168998400 is 4899861.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1036719 + ... + 1036881.

Almost surely, 2^168998400 is an apocalyptic number.

168998400 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 168998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314656386).

168998400 is an abundant number, since it is smaller than the sum of its proper divisors (460314372).

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

168998400 is an equidigital number, since it uses as much as digits as its factorization.

168998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 168998400 is about 12999.9384613928. The cubic root of 168998400 is about 552.8757365814.

The spelling of 168998400 in words is "one hundred sixty-eight million, nine hundred ninety-eight thousand, four hundred".