10384968 has 64 divisors (see below), whose sum is σ = 28627200. Its totient is φ = 3113280.

The previous prime is 10384967. The next prime is 10384981. The reversal of 10384968 is 86948301.

10384968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10384968² = 215695120722048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10384961) 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, 36555 + ... + 36837.

It is an arithmetic number, because the mean of its divisors is an integer number (447300).

Almost surely, 2^10384968 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 10384968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14313600).

10384968 is an abundant number, since it is smaller than the sum of its proper divisors (18242232).

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

10384968 is a wasteful number, since it uses less digits than its factorization.

10384968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 10384968 is about 3222.5716438894. The cubic root of 10384968 is about 218.1733604045.

It can be divided in two parts, 1038 and 4968, that added together give a palindrome (6006).

The spelling of 10384968 in words is "ten million, three hundred eighty-four thousand, nine hundred sixty-eight".