161587584 has 192 divisors, whose sum is σ = 507911040. Its totient is φ = 49102848.

The previous prime is 161587553. The next prime is 161587633. The reversal of 161587584 is 485785161.

161587584 is a `hidden beast` number, since 1 + 61 + 5 + 8 + 7 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×161587584² = 52221094605914112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724497 + ... + 724719.

It is an arithmetic number, because the mean of its divisors is an integer number (2645370).

Almost surely, 2^161587584 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 161587584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253955520).

161587584 is an abundant number, since it is smaller than the sum of its proper divisors (346323456).

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

161587584 is a wasteful number, since it uses less digits than its factorization.

161587584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 282 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 161587584 is about 12711.7105064582. The cubic root of 161587584 is about 544.6731862133.

It can be divided in two parts, 16 and 1587584, that added together give a square (1587600 = 1260²).

The spelling of 161587584 in words is "one hundred sixty-one million, five hundred eighty-seven thousand, five hundred eighty-four".