167216616 has 256 divisors, whose sum is σ = 565440000. Its totient is φ = 45722880.

The previous prime is 167216611. The next prime is 167216627. The reversal of 167216616 is 616612761.

167216616 is a `hidden beast` number, since 16 + 7 + 21 + 6 + 616 = 666.

167216616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×167216616² = 55922793332982912, which contains 22 as substring.

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.

It is not an unprimeable number, because it can be changed into a prime (167216611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2741226 + ... + 2741286.

It is an arithmetic number, because the mean of its divisors is an integer number (2208750).

Almost surely, 2^167216616 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 167216616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282720000).

167216616 is an abundant number, since it is smaller than the sum of its proper divisors (398223384).

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

167216616 is a wasteful number, since it uses less digits than its factorization.

167216616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

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

The square root of 167216616 is about 12931.2263919553. The cubic root of 167216616 is about 550.9258411640.

The spelling of 167216616 in words is "one hundred sixty-seven million, two hundred sixteen thousand, six hundred sixteen".