10384864 has 72 divisors (see below), whose sum is σ = 24562440. Its totient is φ = 4306176.

The previous prime is 10384859. The next prime is 10384867. The reversal of 10384864 is 46848301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10384867) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 57927 + ... + 58105.

It is an arithmetic number, because the mean of its divisors is an integer number (341145).

Almost surely, 2^10384864 is an apocalyptic number.

10384864 is a gapful number since it is divisible by the number (14) 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 10384864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12281220).

10384864 is an abundant number, since it is smaller than the sum of its proper divisors (14177576).

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

10384864 is a wasteful number, since it uses less digits than its factorization.

10384864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 10384864 is about 3222.5555076678. Note that the first 4 decimals coincide. The cubic root of 10384864 is about 218.1726321048.

The spelling of 10384864 in words is "ten million, three hundred eighty-four thousand, eight hundred sixty-four".