168218400 has 576 divisors, whose sum is σ = 719953920. Its totient is φ = 33177600.

The previous prime is 168218387. The next prime is 168218411. The reversal of 168218400 is 4812861.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5426385 + ... + 5426415.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 2^168218400 is an apocalyptic number.

168218400 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 168218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359976960).

168218400 is an abundant number, since it is smaller than the sum of its proper divisors (551735520).

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

168218400 is a wasteful number, since it uses less digits than its factorization.

168218400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 168218400 is about 12969.9036233890. The cubic root of 168218400 is about 552.0238385000.

The spelling of 168218400 in words is "one hundred sixty-eight million, two hundred eighteen thousand, four hundred".