167760 has 60 divisors (see below), whose sum is σ = 565812. Its totient is φ = 44544.

The previous prime is 167759. The next prime is 167771. The reversal of 167760 is 67761.

It can be written as a sum of positive squares in 2 ways, for example, as 46656 + 121104 = 216^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 604 + ... + 836.

2¹⁶⁷⁷⁶⁰ is an apocalyptic number.

167760 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 167760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282906).

167760 is an abundant number, since it is smaller than the sum of its proper divisors (398052).

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

167760 is a wasteful number, since it uses less digits than its factorization.

167760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 167760 is about 409.5851559810. The cubic root of 167760 is about 55.1521955372.

Subtracting from 167760 its reverse (67761), we obtain a palindrome (99999).

It can be divided in two parts, 16 and 7760, that added together give a 5-th power (7776 = 6⁵).

The spelling of 167760 in words is "one hundred sixty-seven thousand, seven hundred sixty".