216167616 has 420 divisors, whose sum is σ = 798838128. Its totient is φ = 57480192.

The previous prime is 216167599. The next prime is 216167629. The reversal of 216167616 is 616761612.

216167616 is a `hidden beast` number, since 21 + 6 + 16 + 7 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an alternating number because its digits alternate between even and odd.

Its product of digits (18144) is a multiple of the sum of its prime divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5842350 + ... + 5842386.

Almost surely, 2^216167616 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 216167616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399419064).

216167616 is an abundant number, since it is smaller than the sum of its proper divisors (582670512).

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

216167616 is a wasteful number, since it uses less digits than its factorization.

216167616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 216167616 is about 14702.6397629813. The cubic root of 216167616 is about 600.1551598722.

The spelling of 216167616 in words is "two hundred sixteen million, one hundred sixty-seven thousand, six hundred sixteen".