168427800 has 144 divisors (see below), whose sum is σ = 570599640. Its totient is φ = 44520960.

The previous prime is 168427769. The next prime is 168427801. The reversal of 168427800 is 8724861.

It is a super-3 number, since 3×168427800³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168427801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 246259 + ... + 246941.

Almost surely, 2^168427800 is an apocalyptic number.

168427800 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 168427800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285299820).

168427800 is an abundant number, since it is smaller than the sum of its proper divisors (402171840).

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

168427800 is a wasteful number, since it uses less digits than its factorization.

168427800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 168427800 is about 12977.9736476848. The cubic root of 168427800 is about 552.2527985123.

It can be divided in two parts, 16842 and 7800, that added together give a palindrome (24642).

The spelling of 168427800 in words is "one hundred sixty-eight million, four hundred twenty-seven thousand, eight hundred".