168686352 has 60 divisors (see below), whose sum is σ = 473903820. Its totient is φ = 56012544.

The previous prime is 168686339. The next prime is 168686363. The reversal of 168686352 is 253686861.

168686352 is a `hidden beast` number, since 1 + 6 + 8 + 6 + 8 + 635 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 114575616 + 54110736 = 10704^2 + 7356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 168686298 and 168686307.

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, 37774 + ... + 42002.

It is an arithmetic number, because the mean of its divisors is an integer number (7898397).

Almost surely, 2^168686352 is an apocalyptic number.

168686352 is a gapful number since it is divisible by the number (12) 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 168686352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236951910).

168686352 is an abundant number, since it is smaller than the sum of its proper divisors (305217468).

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

168686352 is a wasteful number, since it uses less digits than its factorization.

168686352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4520 (or 4511 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 168686352 is about 12987.9310130598. The cubic root of 168686352 is about 552.5352401374.

It can be divided in two parts, 16868 and 6352, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 168686352 in words is "one hundred sixty-eight million, six hundred eighty-six thousand, three hundred fifty-two".