41520168 has 128 divisors (see below), whose sum is σ = 124032000. Its totient is φ = 12830400.

The previous prime is 41520163. The next prime is 41520197. The reversal of 41520168 is 86102514.

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 (41520163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274893 + ... + 275043.

It is an arithmetic number, because the mean of its divisors is an integer number (969000).

Almost surely, 2^41520168 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 41520168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62016000).

41520168 is an abundant number, since it is smaller than the sum of its proper divisors (82511832).

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

41520168 is a wasteful number, since it uses less digits than its factorization.

41520168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 41520168 is about 6443.6145136096. The cubic root of 41520168 is about 346.2738540478.

The spelling of 41520168 in words is "forty-one million, five hundred twenty thousand, one hundred sixty-eight".