41520864 has 192 divisors, whose sum is σ = 140216832. Its totient is φ = 10444800.

The previous prime is 41520859. The next prime is 41520877. The reversal of 41520864 is 46802514.

41520864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 303004 + ... + 303140.

It is an arithmetic number, because the mean of its divisors is an integer number (730296).

Almost surely, 2^41520864 is an apocalyptic number.

41520864 is a gapful number since it is divisible by the number (44) 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 41520864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70108416).

41520864 is an abundant number, since it is smaller than the sum of its proper divisors (98695968).

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

41520864 is a wasteful number, since it uses less digits than its factorization.

41520864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 41520864 is about 6443.6685203384. The cubic root of 41520864 is about 346.2757888927.

The spelling of 41520864 in words is "forty-one million, five hundred twenty thousand, eight hundred sixty-four".