41160960 has 180 divisors, whose sum is σ = 147652428. Its totient is φ = 10948608.

The previous prime is 41160943. The next prime is 41160967. The reversal of 41160960 is 6906114.

It can be written as a sum of positive squares in 2 ways, for example, as 21233664 + 19927296 = 4608^2 + 4464^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (41160967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103482 + ... + 103878.

Almost surely, 2^41160960 is an apocalyptic number.

41160960 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 41160960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73826214).

41160960 is an abundant number, since it is smaller than the sum of its proper divisors (106491468).

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

41160960 is an equidigital number, since it uses as much as digits as its factorization.

41160960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 41160960 is about 6415.6807900643. The cubic root of 41160960 is about 345.2723746979.

The spelling of 41160960 in words is "forty-one million, one hundred sixty thousand, nine hundred sixty".