168533820 has 144 divisors (see below), whose sum is σ = 629254080. Its totient is φ = 35555328.

The previous prime is 168533803. The next prime is 168533839. The reversal of 168533820 is 28335861.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11236 + ... + 21524.

It is an arithmetic number, because the mean of its divisors is an integer number (4369820).

Almost surely, 2^168533820 is an apocalyptic number.

168533820 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 168533820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314627040).

168533820 is an abundant number, since it is smaller than the sum of its proper divisors (460720260).

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

168533820 is a wasteful number, since it uses less digits than its factorization.

168533820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10324 (or 10319 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 168533820 is about 12982.0576181128. The cubic root of 168533820 is about 552.3686494603.

The spelling of 168533820 in words is "one hundred sixty-eight million, five hundred thirty-three thousand, eight hundred twenty".