10005864 has 64 divisors (see below), whose sum is σ = 27578880. Its totient is φ = 3000000.

The previous prime is 10005859. The next prime is 10005871. The reversal of 10005864 is 46850001.

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

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 15 ways as a sum of consecutive naturals, for example, 39739 + ... + 39989.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 2^10005864 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 10005864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440).

10005864 is an abundant number, since it is smaller than the sum of its proper divisors (17573016).

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

10005864 is a wasteful number, since it uses less digits than its factorization.

10005864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 418 counting only the distinct ones).

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

The square root of 10005864 is about 3163.2047040936. The cubic root of 10005864 is about 215.4855727911.

Adding to 10005864 its reverse (46850001), we get a palindrome (56855865).

The spelling of 10005864 in words is "ten million, five thousand, eight hundred sixty-four".