161760 has 48 divisors (see below), whose sum is σ = 511056. Its totient is φ = 43008.

The previous prime is 161753. The next prime is 161761. The reversal of 161760 is 67161.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 312 + ... + 648.

It is an arithmetic number, because the mean of its divisors is an integer number (10647).

2¹⁶¹⁷⁶⁰ is an apocalyptic number.

161760 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 161760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255528).

161760 is an abundant number, since it is smaller than the sum of its proper divisors (349296).

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

161760 is a wasteful number, since it uses less digits than its factorization.

161760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 161760 is about 402.1939830480. The cubic root of 161760 is about 54.4866841750.

It can be divided in two parts, 1617 and 60, that multiplied together give a triangular number (97020 = T₄₄₀).

The spelling of 161760 in words is "one hundred sixty-one thousand, seven hundred sixty".