167666816 has 32 divisors (see below), whose sum is σ = 335915580. Its totient is φ = 83358720.

The previous prime is 167666809. The next prime is 167666819. The reversal of 167666816 is 618666761.

It can be written as a sum of positive squares in 2 ways, for example, as 156750400 + 10916416 = 12520^2 + 3304^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×167666816² = 56224322375155712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (167666819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19550 + ... + 26786.

Almost surely, 2^167666816 is an apocalyptic number.

167666816 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 167666816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167957790).

167666816 is an abundant number, since it is smaller than the sum of its proper divisors (168248764).

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

167666816 is an equidigital number, since it uses as much as digits as its factorization.

167666816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7432 (or 7420 counting only the distinct ones).

The product of its digits is 435456, while the sum is 47.

The square root of 167666816 is about 12948.6221660839. The cubic root of 167666816 is about 551.4198202973.

The spelling of 167666816 in words is "one hundred sixty-seven million, six hundred sixty-six thousand, eight hundred sixteen".