168420160 has 56 divisors (see below), whose sum is σ = 402692616. Its totient is φ = 67092480.

The previous prime is 168420149. The next prime is 168420221. The reversal of 168420160 is 61024861.

It can be written as a sum of positive squares in 4 ways, for example, as 1700416 + 166719744 = 1304^2 + 12912^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88984 + ... + 90856.

Almost surely, 2^168420160 is an apocalyptic number.

168420160 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 168420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201346308).

168420160 is an abundant number, since it is smaller than the sum of its proper divisors (234272456).

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

168420160 is a wasteful number, since it uses less digits than its factorization.

168420160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2161 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 168420160 is about 12977.6792994742. The cubic root of 168420160 is about 552.2444481981.

The spelling of 168420160 in words is "one hundred sixty-eight million, four hundred twenty thousand, one hundred sixty".