167680 has 36 divisors (see below), whose sum is σ = 404712. Its totient is φ = 66560.

The previous prime is 167677. The next prime is 167683. The reversal of 167680 is 86761.

It is an interprime number because it is at equal distance from previous prime (167677) and next prime (167683).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1215 + ... + 1345.

It is an arithmetic number, because the mean of its divisors is an integer number (11242).

2¹⁶⁷⁶⁸⁰ is an apocalyptic number.

167680 is a gapful number since it is divisible by the number (10) 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 167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202356).

167680 is an abundant number, since it is smaller than the sum of its proper divisors (237032).

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

167680 is an equidigital number, since it uses as much as digits as its factorization.

167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 167680 is about 409.4874845462. The cubic root of 167680 is about 55.1434273025.

The spelling of 167680 in words is "one hundred sixty-seven thousand, six hundred eighty".