165085600 has 72 divisors (see below), whose sum is σ = 412473600. Its totient is φ = 64485120.

The previous prime is 165085577. The next prime is 165085607. The reversal of 165085600 is 6580561.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165085607) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 32001 + ... + 36799.

It is an arithmetic number, because the mean of its divisors is an integer number (5728800).

Almost surely, 2^165085600 is an apocalyptic number.

165085600 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 165085600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).

165085600 is an abundant number, since it is smaller than the sum of its proper divisors (247388000).

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

165085600 is a wasteful number, since it uses less digits than its factorization.

165085600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 165085600 is about 12848.5641221111. The cubic root of 165085600 is about 548.5754872178.

The spelling of 165085600 in words is "one hundred sixty-five million, eighty-five thousand, six hundred".