168633920 has 112 divisors (see below), whose sum is σ = 494312448. Its totient is φ = 53360640.

The previous prime is 168633889. The next prime is 168633923. The reversal of 168633920 is 29336861.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (168633923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26225 + ... + 32015.

It is an arithmetic number, because the mean of its divisors is an integer number (4413504).

Almost surely, 2^168633920 is an apocalyptic number.

168633920 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 168633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247156224).

168633920 is an abundant number, since it is smaller than the sum of its proper divisors (325678528).

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

168633920 is a wasteful number, since it uses less digits than its factorization.

168633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5828 (or 5818 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 168633920 is about 12985.9123668690. The cubic root of 168633920 is about 552.4779868791.

The spelling of 168633920 in words is "one hundred sixty-eight million, six hundred thirty-three thousand, nine hundred twenty".