41864864 has 48 divisors (see below), whose sum is σ = 86070600. Its totient is φ = 20020224.

The previous prime is 41864861. The next prime is 41864873. The reversal of 41864864 is 46846814.

It can be written as a sum of positive squares in 4 ways, for example, as 40195600 + 1669264 = 6340^2 + 1292^2 .

It is a super-7 number, since 7×41864864⁷ (a number of 55 digits) contains 7777777 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41864861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182702 + ... + 182930.

Almost surely, 2^41864864 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 41864864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43035300).

41864864 is an abundant number, since it is smaller than the sum of its proper divisors (44205736).

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

41864864 is a wasteful number, since it uses less digits than its factorization.

41864864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 457 counting only the distinct ones).

The product of its digits is 147456, while the sum is 41.

The square root of 41864864 is about 6470.3063296880. The cubic root of 41864864 is about 347.2294573179.

The spelling of 41864864 in words is "forty-one million, eight hundred sixty-four thousand, eight hundred sixty-four".