168811920 has 60 divisors (see below), whose sum is σ = 566929116. Its totient is φ = 45016320.

The previous prime is 168811919. The next prime is 168811931. The reversal of 168811920 is 29118861.

168811920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 105513984 + 63297936 = 10272^2 + 7956^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116511 + ... + 117950.

Almost surely, 2^168811920 is an apocalyptic number.

168811920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

168811920 is an abundant number, since it is smaller than the sum of its proper divisors (398117196).

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

168811920 is a wasteful number, since it uses less digits than its factorization.

168811920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234480 (or 234471 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 168811920 is about 12992.7641400897. The cubic root of 168811920 is about 552.6723062287.

The spelling of 168811920 in words is "one hundred sixty-eight million, eight hundred eleven thousand, nine hundred twenty".