167664 has 40 divisors (see below), whose sum is σ = 496000. Its totient is φ = 47808.

The previous prime is 167663. The next prime is 167677. The reversal of 167664 is 466761.

167664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×167664² = 56222433792, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 167664.

It is not an unprimeable number, because it can be changed into a prime (167663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87 + ... + 585.

It is an arithmetic number, because the mean of its divisors is an integer number (12400).

2¹⁶⁷⁶⁶⁴ is an apocalyptic number.

167664 is a gapful number since it is divisible by the number (14) 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 167664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248000).

167664 is an abundant number, since it is smaller than the sum of its proper divisors (328336).

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

167664 is a wasteful number, since it uses less digits than its factorization.

167664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 511 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 167664 is about 409.4679474635. The cubic root of 167664 is about 55.1416733209.

The spelling of 167664 in words is "one hundred sixty-seven thousand, six hundred sixty-four".