41696160 has 192 divisors, whose sum is σ = 146966400. Its totient is φ = 9850880.

The previous prime is 41696159. The next prime is 41696167. The reversal of 41696160 is 6169614.

41696160 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 (33).

It is not an unprimeable number, because it can be changed into a prime (41696167) 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 31 ways as a sum of consecutive naturals, for example, 279766 + ... + 279914.

It is an arithmetic number, because the mean of its divisors is an integer number (765450).

Almost surely, 2^41696160 is an apocalyptic number.

41696160 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 41696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73483200).

41696160 is an abundant number, since it is smaller than the sum of its proper divisors (105270240).

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

41696160 is a wasteful number, since it uses less digits than its factorization.

41696160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 41696160 is about 6457.2563833257. The cubic root of 41696160 is about 346.7624160236.

The spelling of 41696160 in words is "forty-one million, six hundred ninety-six thousand, one hundred sixty".