167664816 has 200 divisors, whose sum is σ = 558148800. Its totient is φ = 48055680.

The previous prime is 167664803. The next prime is 167664821. The reversal of 167664816 is 618466761.

167664816 is a `hidden beast` number, since 167 + 6 + 6 + 481 + 6 = 666.

It is a super-2 number, since 2×167664816² = 56222981048627712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 270555 + ... + 271173.

It is an arithmetic number, because the mean of its divisors is an integer number (2790744).

Almost surely, 2^167664816 is an apocalyptic number.

167664816 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 167664816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279074400).

167664816 is an abundant number, since it is smaller than the sum of its proper divisors (390483984).

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

167664816 is a wasteful number, since it uses less digits than its factorization.

167664816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 654 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 167664816 is about 12948.5449375596. The cubic root of 167664816 is about 551.4176277664.

The spelling of 167664816 in words is "one hundred sixty-seven million, six hundred sixty-four thousand, eight hundred sixteen".