161065584 has 200 divisors, whose sum is σ = 508935680. Its totient is φ = 48988800.

The previous prime is 161065579. The next prime is 161065601. The reversal of 161065584 is 485560161.

161065584 is a `hidden beast` number, since 1 + 6 + 10 + 65 + 584 = 666.

It is a super-2 number, since 2×161065584² = 51884244698522112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 39 ways as a sum of consecutive naturals, for example, 763239 + ... + 763449.

Almost surely, 2^161065584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161065584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254467840).

161065584 is an abundant number, since it is smaller than the sum of its proper divisors (347870096).

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

161065584 is a wasteful number, since it uses less digits than its factorization.

161065584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 161065584 is about 12691.1616489587. The cubic root of 161065584 is about 544.0860410332.

The spelling of 161065584 in words is "one hundred sixty-one million, sixty-five thousand, five hundred eighty-four".