162960 has 80 divisors (see below), whose sum is σ = 583296. Its totient is φ = 36864.

The previous prime is 162947. The next prime is 162971. The reversal of 162960 is 69261.

Added to its reverse (69261) it gives a triangular number (232221 = T₆₈₁).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 162960.

It is an unprimeable number.

162960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1632 + ... + 1728.

2¹⁶²⁹⁶⁰ is an apocalyptic number.

162960 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 162960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291648).

162960 is an abundant number, since it is smaller than the sum of its proper divisors (420336).

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

162960 is a wasteful number, since it uses less digits than its factorization.

162960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 162960 is about 403.6830439838. The cubic root of 162960 is about 54.6210869991.

Adding to 162960 its reverse (69261), we get a triangular number (232221 = T₆₈₁).

The spelling of 162960 in words is "one hundred sixty-two thousand, nine hundred sixty".