168345000 has 320 divisors, whose sum is σ = 618552000. Its totient is φ = 42336000.

The previous prime is 168344993. The next prime is 168345011. The reversal of 168345000 is 543861.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3914979 + ... + 3915021.

It is an arithmetic number, because the mean of its divisors is an integer number (1932975).

Almost surely, 2^168345000 is an apocalyptic number.

168345000 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 168345000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309276000).

168345000 is an abundant number, since it is smaller than the sum of its proper divisors (450207000).

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

168345000 is a wasteful number, since it uses less digits than its factorization.

168345000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 168345000 is about 12974.7832351835. The cubic root of 168345000 is about 552.1622868769.

Adding to 168345000 its reverse (543861), we get a palindrome (168888861).

The spelling of 168345000 in words is "one hundred sixty-eight million, three hundred forty-five thousand".