161616160 has 96 divisors (see below), whose sum is σ = 393733872. Its totient is φ = 62668800.

The previous prime is 161616151. The next prime is 161616179. The reversal of 161616160 is 61616161.

It can be written as a sum of positive squares in 8 ways, for example, as 126427536 + 35188624 = 11244^2 + 5932^2 .

It is a super-2 number, since 2×161616160² = 52239566346291200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1179612 + ... + 1179748.

Almost surely, 2^161616160 is an apocalyptic number.

161616160 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 161616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196866936).

161616160 is an abundant number, since it is smaller than the sum of its proper divisors (232117712).

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

161616160 is a wasteful number, since it uses less digits than its factorization.

161616160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 161616160 is about 12712.8344597104. The cubic root of 161616160 is about 544.7052919465.

Subtracting from 161616160 its reverse (61616161), we obtain a palindrome (99999999).

The spelling of 161616160 in words is "one hundred sixty-one million, six hundred sixteen thousand, one hundred sixty".