10208384 has 32 divisors (see below), whose sum is σ = 20498940. Its totient is φ = 5063680.

The previous prime is 10208333. The next prime is 10208399. The reversal of 10208384 is 48380201.

It can be written as a sum of positive squares in 2 ways, for example, as 9985600 + 222784 = 3160^2 + 472^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10208384² = 208422207782912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21914 + ... + 22374.

Almost surely, 2^10208384 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 10208384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10249470).

10208384 is an abundant number, since it is smaller than the sum of its proper divisors (10290556).

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

10208384 is an equidigital number, since it uses as much as digits as its factorization.

10208384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 10208384 is about 3195.0561810397. The cubic root of 10208384 is about 216.9296918764.

Adding to 10208384 its reverse (48380201), we get a palindrome (58588585).

The spelling of 10208384 in words is "ten million, two hundred eight thousand, three hundred eighty-four".