166560 has 48 divisors (see below), whose sum is σ = 526176. Its totient is φ = 44288.

The previous prime is 166541. The next prime is 166561. The reversal of 166560 is 65661.

Added to its reverse (65661) it gives a triangular number (232221 = T₆₈₁).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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 166560.

It is not an unprimeable number, because it can be changed into a prime (166561) by changing a digit.

166560 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 7 ways as a sum of consecutive naturals, for example, 307 + ... + 653.

It is an arithmetic number, because the mean of its divisors is an integer number (10962).

2¹⁶⁶⁵⁶⁰ is an apocalyptic number.

166560 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 166560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263088).

166560 is an abundant number, since it is smaller than the sum of its proper divisors (359616).

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

166560 is a wasteful number, since it uses less digits than its factorization.

166560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 166560 is about 408.1176301019. The cubic root of 166560 is about 55.0203781237.

Adding to 166560 its reverse (65661), we get a triangular number (232221 = T₆₈₁).

The spelling of 166560 in words is "one hundred sixty-six thousand, five hundred sixty".