168385500 has 96 divisors (see below), whose sum is σ = 544864320. Its totient is φ = 44899200.

The previous prime is 168385499. The next prime is 168385519. The reversal of 168385500 is 5583861.

168385500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×168385500² = 56707353220500000, which contains 22 as substring.

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

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7264 + ... + 19736.

It is an arithmetic number, because the mean of its divisors is an integer number (5675670).

Almost surely, 2^168385500 is an apocalyptic number.

168385500 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 168385500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272432160).

168385500 is an abundant number, since it is smaller than the sum of its proper divisors (376478820).

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

168385500 is a wasteful number, since it uses less digits than its factorization.

168385500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12501 (or 12483 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 168385500 is about 12976.3438610419. The cubic root of 168385500 is about 552.2065625797.

The spelling of 168385500 in words is "one hundred sixty-eight million, three hundred eighty-five thousand, five hundred".