168220800 has 480 divisors, whose sum is σ = 688683600. Its totient is φ = 40089600.

The previous prime is 168220757. The next prime is 168220807. The reversal of 168220800 is 8022861.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (168220807) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2851171 + ... + 2851229.

Almost surely, 2^168220800 is an apocalyptic number.

168220800 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 168220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344341800).

168220800 is an abundant number, since it is smaller than the sum of its proper divisors (520462800).

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

168220800 is a wasteful number, since it uses less digits than its factorization.

168220800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 168220800 is about 12969.9961449493. The cubic root of 168220800 is about 552.0264637596.

The spelling of 168220800 in words is "one hundred sixty-eight million, two hundred twenty thousand, eight hundred".