41668960 has 72 divisors (see below), whose sum is σ = 102096288. Its totient is φ = 16070400.

The previous prime is 41668943. The next prime is 41668973. The reversal of 41668960 is 6986614.

41668960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 153625 + ... + 153895.

It is an arithmetic number, because the mean of its divisors is an integer number (1418004).

Almost surely, 2^41668960 is an apocalyptic number.

41668960 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 41668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51048144).

41668960 is an abundant number, since it is smaller than the sum of its proper divisors (60427328).

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

41668960 is a wasteful number, since it uses less digits than its factorization.

41668960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 41668960 is about 6455.1498820709. The cubic root of 41668960 is about 346.6869974927.

The spelling of 41668960 in words is "forty-one million, six hundred sixty-eight thousand, nine hundred sixty".