161586000 has 240 divisors, whose sum is σ = 579391488. Its totient is φ = 41952000.

The previous prime is 161585951. The next prime is 161586001. The reversal of 161586000 is 685161.

161586000 is a `hidden beast` number, since 1 + 6 + 1 + 58 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×161586000² = 52220070792000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161586001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 845905 + ... + 846095.

Almost surely, 2^161586000 is an apocalyptic number.

161586000 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 161586000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289695744).

161586000 is an abundant number, since it is smaller than the sum of its proper divisors (417805488).

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

161586000 is a wasteful number, since it uses less digits than its factorization.

161586000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 161586000 is about 12711.6482015512. The cubic root of 161586000 is about 544.6714064455.

The spelling of 161586000 in words is "one hundred sixty-one million, five hundred eighty-six thousand".