168949800 has 120 divisors (see below), whose sum is σ = 586843950. Its totient is φ = 45048960.

The previous prime is 168949799. The next prime is 168949811. The reversal of 168949800 is 8949861.

It can be written as a sum of positive squares in 3 ways, for example, as 162868644 + 6081156 = 12762^2 + 2466^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a nialpdrome in base 15.

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 29 ways as a sum of consecutive naturals, for example, 10986 + ... + 21414.

Almost surely, 2^168949800 is an apocalyptic number.

168949800 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 168949800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293421975).

168949800 is an abundant number, since it is smaller than the sum of its proper divisors (417894150).

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

168949800 is a wasteful number, since it uses less digits than its factorization.

168949800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10457 (or 10439 counting only the distinct ones).

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

The square root of 168949800 is about 12998.0690873683. The cubic root of 168949800 is about 552.8227334427.

The spelling of 168949800 in words is "one hundred sixty-eight million, nine hundred forty-nine thousand, eight hundred".