161880 has 64 divisors (see below), whose sum is σ = 518400. Its totient is φ = 40320.

The previous prime is 161879. The next prime is 161881. The reversal of 161880 is 88161.

It is an interprime number because it is at equal distance from previous prime (161879) and next prime (161881).

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 161880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2245 + ... + 2315.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2¹⁶¹⁸⁸⁰ is an apocalyptic number.

161880 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 161880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259200).

161880 is an abundant number, since it is smaller than the sum of its proper divisors (356520).

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

161880 is a wasteful number, since it uses less digits than its factorization.

161880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 161880 is about 402.3431371355. The cubic root of 161880 is about 54.5001543076.

The spelling of 161880 in words is "one hundred sixty-one thousand, eight hundred eighty".