41604864 has 144 divisors (see below), whose sum is σ = 129507840. Its totient is φ = 11612160.

The previous prime is 41604863. The next prime is 41604911. The reversal of 41604864 is 46840614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41604863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381642 + ... + 381750.

It is an arithmetic number, because the mean of its divisors is an integer number (899360).

Almost surely, 2^41604864 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 41604864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64753920).

41604864 is an abundant number, since it is smaller than the sum of its proper divisors (87902976).

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

41604864 is a wasteful number, since it uses less digits than its factorization.

41604864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 41604864 is about 6450.1832532107. The cubic root of 41604864 is about 346.5091460556.

The spelling of 41604864 in words is "forty-one million, six hundred four thousand, eight hundred sixty-four".