168313600 has 324 divisors, whose sum is σ = 544676944. Its totient is φ = 50135040.

The previous prime is 168313597. The next prime is 168313619. The reversal of 168313600 is 6313861.

168313600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9900792 + ... + 9900808.

Almost surely, 2^168313600 is an apocalyptic number.

168313600 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 168313600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272338472).

168313600 is an abundant number, since it is smaller than the sum of its proper divisors (376363344).

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

168313600 is a wasteful number, since it uses less digits than its factorization.

168313600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 168313600 is about 12973.5731392705. The cubic root of 168313600 is about 552.1279546546.

The spelling of 168313600 in words is "one hundred sixty-eight million, three hundred thirteen thousand, six hundred".