161680 has 40 divisors (see below), whose sum is σ = 392832. Its totient is φ = 61824.

The previous prime is 161659. The next prime is 161683. The reversal of 161680 is 86161.

161680 = T₅ + T₆ + ... + T₉₈.

161680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×161680² = 52280844800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (161683) 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, 3417 + ... + 3463.

2¹⁶¹⁶⁸⁰ is an apocalyptic number.

161680 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 161680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196416).

161680 is an abundant number, since it is smaller than the sum of its proper divisors (231152).

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

161680 is a wasteful number, since it uses less digits than its factorization.

161680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 161680 is about 402.0945162521. The cubic root of 161680 is about 54.4777003852.

It can be divided in two parts, 161 and 680, that added together give a square (841 = 29²).

The spelling of 161680 in words is "one hundred sixty-one thousand, six hundred eighty".