41608000 has 112 divisors (see below), whose sum is σ = 117921024. Its totient is φ = 14246400.

The previous prime is 41607997. The next prime is 41608001. The reversal of 41608000 is 80614.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41608001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55629 + ... + 56371.

Almost surely, 2^41608000 is an apocalyptic number.

41608000 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 41608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58960512).

41608000 is an abundant number, since it is smaller than the sum of its proper divisors (76313024).

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

41608000 is an equidigital number, since it uses as much as digits as its factorization.

41608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 41608000 is about 6450.4263424986. The cubic root of 41608000 is about 346.5178519718.

Adding to 41608000 its reverse (80614), we get a palindrome (41688614).

The spelling of 41608000 in words is "forty-one million, six hundred eight thousand".