168012400 has 60 divisors (see below), whose sum is σ = 406503000. Its totient is φ = 66730240.

The previous prime is 168012373. The next prime is 168012407. The reversal of 168012400 is 4210861.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168012407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 58191 + ... + 61009.

It is an arithmetic number, because the mean of its divisors is an integer number (6775050).

Almost surely, 2^168012400 is an apocalyptic number.

168012400 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 168012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203251500).

168012400 is an abundant number, since it is smaller than the sum of its proper divisors (238490600).

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

168012400 is a wasteful number, since it uses less digits than its factorization.

168012400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 168012400 is about 12961.9597283744. The cubic root of 168012400 is about 551.7984106009.

The spelling of 168012400 in words is "one hundred sixty-eight million, twelve thousand, four hundred".