168846408 has 48 divisors (see below), whose sum is σ = 461361420. Its totient is φ = 55781376.

The previous prime is 168846401. The next prime is 168846467. The reversal of 168846408 is 804648861.

168846408 is a `hidden beast` number, since 168 + 84 + 6 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 140138244 + 28708164 = 11838^2 + 5358^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168846401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2241 + ... + 18512.

Almost surely, 2^168846408 is an apocalyptic number.

168846408 is a gapful number since it is divisible by the number (18) 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 168846408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230680710).

168846408 is an abundant number, since it is smaller than the sum of its proper divisors (292515012).

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

168846408 is a wasteful number, since it uses less digits than its factorization.

168846408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20878 (or 20871 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 168846408 is about 12994.0912725746. The cubic root of 168846408 is about 552.7099403496.

The spelling of 168846408 in words is "one hundred sixty-eight million, eight hundred forty-six thousand, four hundred eight".