168361506 has 48 divisors (see below), whose sum is σ = 391584024. Its totient is φ = 52088832.

The previous prime is 168361499. The next prime is 168361517. The reversal of 168361506 is 605163861.

It is a happy number.

168361506 is a `hidden beast` number, since 16 + 83 + 61 + 506 = 666.

168361506 is digitally balanced in base 3, 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 4 ways, for example, as 158382225 + 9979281 = 12585^2 + 3159^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18570 + ... + 26106.

Almost surely, 2^168361506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168361506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195792012).

168361506 is an abundant number, since it is smaller than the sum of its proper divisors (223222518).

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

168361506 is a wasteful number, since it uses less digits than its factorization.

168361506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7635 (or 7632 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 168361506 is about 12975.4192995833. The cubic root of 168361506 is about 552.1803325427.

The spelling of 168361506 in words is "one hundred sixty-eight million, three hundred sixty-one thousand, five hundred six".