165285680 has 40 divisors (see below), whose sum is σ = 439189152. Its totient is φ = 56669184.

The previous prime is 165285677. The next prime is 165285683. The reversal of 165285680 is 86582561.

165285680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (165285677) and next prime (165285683).

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (165285683) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 147017 + ... + 148136.

Almost surely, 2^165285680 is an apocalyptic number.

165285680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165285680 is an abundant number, since it is smaller than the sum of its proper divisors (273903472).

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

165285680 is a wasteful number, since it uses less digits than its factorization.

165285680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295173 (or 295167 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 41.

The square root of 165285680 is about 12856.3478484366. The cubic root of 165285680 is about 548.7970180913.

The spelling of 165285680 in words is "one hundred sixty-five million, two hundred eighty-five thousand, six hundred eighty".