165610000 has 50 divisors (see below), whose sum is σ = 400982582. Its totient is φ = 66240000.

The previous prime is 165609973. The next prime is 165610057. The reversal of 165610000 is 16561.

It can be written as a sum of positive squares in 5 ways, for example, as 111851776 + 53758224 = 10576^2 + 7332^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a self number, because there is not a number n which added to its sum of digits gives 165610000.

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 9 ways as a sum of consecutive naturals, for example, 1720 + ... + 18280.

Almost surely, 2^165610000 is an apocalyptic number.

165610000 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 165610000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200491291).

165610000 is an abundant number, since it is smaller than the sum of its proper divisors (235372582).

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

165610000 is an equidigital number, since it uses as much as digits as its factorization.

165610000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16589 (or 16568 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 165610000 is about 12868.9548915209. The cubic root of 165610000 is about 549.1557294697.

Adding to 165610000 its reverse (16561), we get a palindrome (165626561).

Multiplying 165610000 by its reverse (16561), we get a square (2742667210000 = 1656100²).

165610000 divided by its reverse (16561) gives a 4-th power (10000 = 10⁴).

The spelling of 165610000 in words is "one hundred sixty-five million, six hundred ten thousand".