161416584 has 192 divisors, whose sum is σ = 530236800. Its totient is φ = 45360000.

The previous prime is 161416579. The next prime is 161416589. The reversal of 161416584 is 485614161.

161416584 is a `hidden beast` number, since 1 + 61 + 4 + 16 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (161416579) and next prime (161416589).

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

It is not an unprimeable number, because it can be changed into a prime (161416589) 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, 1068909 + ... + 1069059.

It is an arithmetic number, because the mean of its divisors is an integer number (2761650).

Almost surely, 2^161416584 is an apocalyptic number.

161416584 is a gapful number since it is divisible by the number (14) 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 161416584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265118400).

161416584 is an abundant number, since it is smaller than the sum of its proper divisors (368820216).

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

161416584 is a wasteful number, since it uses less digits than its factorization.

161416584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 264 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 161416584 is about 12704.9826446162. The cubic root of 161416584 is about 544.4809850003.

The spelling of 161416584 in words is "one hundred sixty-one million, four hundred sixteen thousand, five hundred eighty-four".