41610016 has 96 divisors (see below), whose sum is σ = 101606400. Its totient is φ = 16708608.

The previous prime is 41610007. The next prime is 41610017. The reversal of 41610016 is 61001614.

It is a happy number.

41610016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 41609975 and 41610002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41610017) 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 15 ways as a sum of consecutive naturals, for example, 186481 + ... + 186703.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 2^41610016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41610016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50803200).

41610016 is an abundant number, since it is smaller than the sum of its proper divisors (59996384).

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

41610016 is a wasteful number, since it uses less digits than its factorization.

41610016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 41610016 is about 6450.5826093462. The cubic root of 41610016 is about 346.5234484013.

The spelling of 41610016 in words is "forty-one million, six hundred ten thousand, sixteen".