167664672 has 162 divisors, whose sum is σ = 559775853. Its totient is φ = 47464704.

The previous prime is 167664667. The next prime is 167664677. The reversal of 167664672 is 276466761.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

167664672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (167664667) and next prime (167664677).

It can be written as a sum of positive squares in 2 ways, for example, as 160883856 + 6780816 = 12684^2 + 2604^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=9156.

It is a super-2 number, since 2×167664672² = 56222884473735168, which contains 22 as substring.

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 (167664677) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1538154 + ... + 1538262.

Almost surely, 2^167664672 is an apocalyptic number.

167664672 is a gapful number since it is divisible by the number (12) 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 167664672

167664672 is an abundant number, since it is smaller than the sum of its proper divisors (392111181).

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

167664672 is a wasteful number, since it uses less digits than its factorization.

167664672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 121 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 167664672 is about 12948.5393770881. The cubic root of 167664672 is about 551.4174699035.

Multiplying 167664672 by its product of digits (508032), we get a square (85179018645504 = 9229248²).

The spelling of 167664672 in words is "one hundred sixty-seven million, six hundred sixty-four thousand, six hundred seventy-two".