168162120 has 144 divisors (see below), whose sum is σ = 635822460. Its totient is φ = 38433024.

The previous prime is 168162109. The next prime is 168162139. The reversal of 168162120 is 21261861.

168162120 is a `hidden beast` number, since 16 + 8 + 1 + 621 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 157703364 + 10458756 = 12558^2 + 3234^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12874 + ... + 22406.

Almost surely, 2^168162120 is an apocalyptic number.

168162120 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 168162120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317911230).

168162120 is an abundant number, since it is smaller than the sum of its proper divisors (467660340).

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

168162120 is a wasteful number, since it uses less digits than its factorization.

168162120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9564 (or 9550 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 168162120 is about 12967.7338035603. The cubic root of 168162120 is about 551.9622690026.

The spelling of 168162120 in words is "one hundred sixty-eight million, one hundred sixty-two thousand, one hundred twenty".