664167168 has 432 divisors, whose sum is σ = 2390744160. Its totient is φ = 181149696.

The previous prime is 664167167. The next prime is 664167197. The reversal of 664167168 is 861761466.

664167168 = 69³ + 70³ + ... + 227³.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×664167168² = 882236054098280448, 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 (664167167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12531430 + ... + 12531482.

It is an arithmetic number, because the mean of its divisors is an integer number (5534130).

Almost surely, 2^664167168 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 664167168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195372080).

664167168 is an abundant number, since it is smaller than the sum of its proper divisors (1726576992).

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

664167168 is a wasteful number, since it uses less digits than its factorization.

664167168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 102 counting only the distinct ones).

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

The square root of 664167168 is about 25771.4409375960. The cubic root of 664167168 is about 872.4873408617.

The spelling of 664167168 in words is "six hundred sixty-four million, one hundred sixty-seven thousand, one hundred sixty-eight".