41616160 has 48 divisors (see below), whose sum is σ = 101719800. Its totient is φ = 16070656.

The previous prime is 41616151. The next prime is 41616161. The reversal of 41616160 is 6161614.

It can be written as a sum of positive squares in 4 ways, for example, as 34152336 + 7463824 = 5844^2 + 2732^2 .

It is not an unprimeable number, because it can be changed into a prime (41616161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156 + ... + 9124.

Almost surely, 2^41616160 is an apocalyptic number.

41616160 is a gapful number since it is divisible by the number (40) 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 41616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50859900).

41616160 is an abundant number, since it is smaller than the sum of its proper divisors (60103640).

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

41616160 is a wasteful number, since it uses less digits than its factorization.

41616160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9013 (or 9005 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 41616160 is about 6451.0588278204. The cubic root of 41616160 is about 346.5405030714.

Adding to 41616160 its reverse (6161614), we get a palindrome (47777774).

The spelling of 41616160 in words is "forty-one million, six hundred sixteen thousand, one hundred sixty".