168461216 has 72 divisors (see below), whose sum is σ = 420922656. Its totient is φ = 65627520.

The previous prime is 168461197. The next prime is 168461243. The reversal of 168461216 is 612164861.

It is a congruent number.

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, 12365 + ... + 22131.

It is an arithmetic number, because the mean of its divisors is an integer number (5846148).

Almost surely, 2^168461216 is an apocalyptic number.

168461216 is a gapful number since it is divisible by the number (16) 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 168461216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210461328).

168461216 is an abundant number, since it is smaller than the sum of its proper divisors (252461440).

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

168461216 is a wasteful number, since it uses less digits than its factorization.

168461216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9802 (or 9787 counting only the distinct ones).

The product of its digits is 13824, while the sum is 35.

The square root of 168461216 is about 12979.2609959119. The cubic root of 168461216 is about 552.2893183331.

The spelling of 168461216 in words is "one hundred sixty-eight million, four hundred sixty-one thousand, two hundred sixteen".