165875616 has 36 divisors (see below), whose sum is σ = 471709602. Its totient is φ = 55291776.

The previous prime is 165875603. The next prime is 165875641. The reversal of 165875616 is 616578561.

165875616 is a `hidden beast` number, since 1 + 6 + 5 + 87 + 561 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 163328400 + 2547216 = 12780^2 + 1596^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 287691 + ... + 288266.

Almost surely, 2^165875616 is an apocalyptic number.

165875616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

165875616 is an abundant number, since it is smaller than the sum of its proper divisors (305833986).

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

165875616 is a wasteful number, since it uses less digits than its factorization.

165875616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575973 (or 575962 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 165875616 is about 12879.2707868109. The cubic root of 165875616 is about 549.4491631097.

The spelling of 165875616 in words is "one hundred sixty-five million, eight hundred seventy-five thousand, six hundred sixteen".