168368616 has 144 divisors (see below), whose sum is σ = 502302060. Its totient is φ = 50918400.

The previous prime is 168368609. The next prime is 168368621. The reversal of 168368616 is 616863861.

It can be written as a sum of positive squares in 6 ways, for example, as 75168900 + 93199716 = 8670^2 + 9654^2 .

It is a nude number because it is divisible by every one of its digits.

Its product of digits (248832) is a multiple of the sum of its prime divisors (256).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1228900 + ... + 1229036.

Almost surely, 2^168368616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168368616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251151030).

168368616 is an abundant number, since it is smaller than the sum of its proper divisors (333933444).

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

168368616 is a wasteful number, since it uses less digits than its factorization.

168368616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 168368616 is about 12975.6932762762. The cubic root of 168368616 is about 552.1881053941.

It can be divided in two parts, 16836 and 8616, that added together give a palindrome (25452).

The spelling of 168368616 in words is "one hundred sixty-eight million, three hundred sixty-eight thousand, six hundred sixteen".