161066000 has 80 divisors (see below), whose sum is σ = 403032240. Its totient is φ = 62182400.

The previous prime is 161065981. The next prime is 161066011. The reversal of 161066000 is 660161.

It can be written as a sum of positive squares in 8 ways, for example, as 80209936 + 80856064 = 8956^2 + 8992^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56612 + ... + 59388.

It is an arithmetic number, because the mean of its divisors is an integer number (5037903).

Almost surely, 2^161066000 is an apocalyptic number.

161066000 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 161066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201516120).

161066000 is an abundant number, since it is smaller than the sum of its proper divisors (241966240).

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

161066000 is a wasteful number, since it uses less digits than its factorization.

161066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2813 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 161066000 is about 12691.1780383068. The cubic root of 161066000 is about 544.0865094544.

The spelling of 161066000 in words is "one hundred sixty-one million, sixty-six thousand".