161664336 has 100 divisors (see below), whose sum is σ = 474126400. Its totient is φ = 53172288.

The previous prime is 161664323. The next prime is 161664343. The reversal of 161664336 is 633466161.

161664336 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 643 + 3 + 6 = 666.

It is a super-2 number, since 2×161664336² = 52270715068641792, which contains 22 as substring.

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 161664336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101595 + ... + 103173.

It is an arithmetic number, because the mean of its divisors is an integer number (4741264).

Almost surely, 2^161664336 is an apocalyptic number.

161664336 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 161664336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237063200).

161664336 is an abundant number, since it is smaller than the sum of its proper divisors (312462064).

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

161664336 is a wasteful number, since it uses less digits than its factorization.

161664336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1678 (or 1663 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 161664336 is about 12714.7290966029. The cubic root of 161664336 is about 544.7594101220.

It can be divided in two parts, 16166 and 4336, that added together give a palindrome (20502).

The spelling of 161664336 in words is "one hundred sixty-one million, six hundred sixty-four thousand, three hundred thirty-six".