161680000 has 160 divisors (see below), whose sum is σ = 420615360. Its totient is φ = 61824000.

The previous prime is 161679997. The next prime is 161680019. The reversal of 161680000 is 86161.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×161680000² = 52280844800000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3439977 + ... + 3440023.

It is an arithmetic number, because the mean of its divisors is an integer number (2628846).

Almost surely, 2^161680000 is an apocalyptic number.

161680000 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 161680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210307680).

161680000 is an abundant number, since it is smaller than the sum of its proper divisors (258935360).

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

161680000 is an frugal number, since it uses more digits than its factorization.

161680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 97 counting only the distinct ones).

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

The square root of 161680000 is about 12715.3450602019. The cubic root of 161680000 is about 544.7770038515. Note that the first 3 decimals are identical.

The spelling of 161680000 in words is "one hundred sixty-one million, six hundred eighty thousand".