161327712 has 192 divisors, whose sum is σ = 531740160. Its totient is φ = 41693184.

The previous prime is 161327711. The next prime is 161327713. The reversal of 161327712 is 217723161.

It is an interprime number because it is at equal distance from previous prime (161327711) and next prime (161327713).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 161327712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161327711) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 515268 + ... + 515580.

It is an arithmetic number, because the mean of its divisors is an integer number (2769480).

Almost surely, 2^161327712 is an apocalyptic number.

161327712 is a gapful number since it is divisible by the number (12) 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 161327712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265870080).

161327712 is an abundant number, since it is smaller than the sum of its proper divisors (370412448).

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

161327712 is a wasteful number, since it uses less digits than its factorization.

161327712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 397 counting only the distinct ones).

The product of its digits is 3528, while the sum is 30.

The square root of 161327712 is about 12701.4846376319. The cubic root of 161327712 is about 544.3810407107.

The spelling of 161327712 in words is "one hundred sixty-one million, three hundred twenty-seven thousand, seven hundred twelve".