168124400 has 60 divisors (see below), whose sum is σ = 405349800. Its totient is φ = 67011840.

The previous prime is 168124399. The next prime is 168124409. The reversal of 168124400 is 4421861.

168124400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 168124400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168124409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151046 + ... + 152154.

It is an arithmetic number, because the mean of its divisors is an integer number (6755830).

Almost surely, 2^168124400 is an apocalyptic number.

168124400 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 168124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202674900).

168124400 is an abundant number, since it is smaller than the sum of its proper divisors (237225400).

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

168124400 is a wasteful number, since it uses less digits than its factorization.

168124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 168124400 is about 12966.2793429727. The cubic root of 168124400 is about 551.9209961847.

It can be divided in two parts, 16812 and 4400, that added together give a palindrome (21212).

The spelling of 168124400 in words is "one hundred sixty-eight million, one hundred twenty-four thousand, four hundred".