162760 has 32 divisors (see below), whose sum is σ = 395640. Its totient is φ = 59904.

The previous prime is 162751. The next prime is 162779. The reversal of 162760 is 67261.

It can be written as a sum of positive squares in 4 ways, for example, as 45796 + 116964 = 214^2 + 342^2 .

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors.

162760 is an undulating number in base 5.

It is a plaindrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364 + ... + 676.

2¹⁶²⁷⁶⁰ is an apocalyptic number.

162760 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 162760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197820).

162760 is an abundant number, since it is smaller than the sum of its proper divisors (232880).

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

162760 is a wasteful number, since it uses less digits than its factorization.

162760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 162760 is about 403.4352488318. The cubic root of 162760 is about 54.5987324550.

The spelling of 162760 in words is "one hundred sixty-two thousand, seven hundred sixty".