167560 has 32 divisors (see below), whose sum is σ = 388800. Its totient is φ = 64960.

The previous prime is 167543. The next prime is 167593. The reversal of 167560 is 65761.

It is an Ulam number.

It is a plaindrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2325 + ... + 2395.

It is an arithmetic number, because the mean of its divisors is an integer number (12150).

2¹⁶⁷⁵⁶⁰ is an apocalyptic number.

167560 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 167560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194400).

167560 is an abundant number, since it is smaller than the sum of its proper divisors (221240).

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

167560 is a wasteful number, since it uses less digits than its factorization.

167560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 167560 is about 409.3409336971. The cubic root of 167560 is about 55.1302697197.

It can be divided in two parts, 167 and 560, that added together give a palindrome (727).

The spelling of 167560 in words is "one hundred sixty-seven thousand, five hundred sixty".