165285600 has 144 divisors (see below), whose sum is σ = 547308720. Its totient is φ = 43315200.

The previous prime is 165285581. The next prime is 165285647. The reversal of 165285600 is 6582561.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145836 + ... + 146964.

It is an arithmetic number, because the mean of its divisors is an integer number (3800755).

Almost surely, 2^165285600 is an apocalyptic number.

165285600 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 165285600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273654360).

165285600 is an abundant number, since it is smaller than the sum of its proper divisors (382023120).

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

165285600 is a wasteful number, since it uses less digits than its factorization.

165285600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 165285600 is about 12856.3447371327. The cubic root of 165285600 is about 548.7969295502.

The spelling of 165285600 in words is "one hundred sixty-five million, two hundred eighty-five thousand, six hundred".