161916336 has 90 divisors (see below), whose sum is σ = 461610708. Its totient is φ = 52980480.

The previous prime is 161916331. The next prime is 161916341. The reversal of 161916336 is 633619161.

161916336 is a `hidden beast` number, since 1 + 6 + 19 + 1 + 633 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (161916331) and next prime (161916341).

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

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 161916336.

It is not an unprimeable number, because it can be changed into a prime (161916331) 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 17 ways as a sum of consecutive naturals, for example, 767271 + ... + 767481.

Almost surely, 2^161916336 is an apocalyptic number.

161916336 is a gapful number since it is divisible by the number (16) 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 161916336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230805354).

161916336 is an abundant number, since it is smaller than the sum of its proper divisors (299694372).

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

161916336 is a wasteful number, since it uses less digits than its factorization.

161916336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 289 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 161916336 is about 12724.6350045885. The cubic root of 161916336 is about 545.0423175064.

It can be divided in two parts, 1619 and 16336, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 161916336 in words is "one hundred sixty-one million, nine hundred sixteen thousand, three hundred thirty-six".