41506080 has 192 divisors, whose sum is σ = 163150848. Its totient is φ = 8616960.

The previous prime is 41506079. The next prime is 41506097. The reversal of 41506080 is 8060514.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41506080.

It is an unprimeable number.

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, 36399 + ... + 37521.

It is an arithmetic number, because the mean of its divisors is an integer number (849744).

Almost surely, 2^41506080 is an apocalyptic number.

41506080 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 41506080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81575424).

41506080 is an abundant number, since it is smaller than the sum of its proper divisors (121644768).

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

41506080 is a wasteful number, since it uses less digits than its factorization.

41506080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1159 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 41506080 is about 6442.5212455994. The cubic root of 41506080 is about 346.2346854691.

Adding to 41506080 its reverse (8060514), we get a palindrome (49566594).

The spelling of 41506080 in words is "forty-one million, five hundred six thousand, eighty".