10378784 has 48 divisors (see below), whose sum is σ = 22420440. Its totient is φ = 4700160.

The previous prime is 10378777. The next prime is 10378793. The reversal of 10378784 is 48787301.

It can be written as a sum of positive squares in 4 ways, for example, as 6615184 + 3763600 = 2572^2 + 1940^2 .

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 7 ways as a sum of consecutive naturals, for example, 25172 + ... + 25580.

Almost surely, 2^10378784 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 10378784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11210220).

10378784 is an abundant number, since it is smaller than the sum of its proper divisors (12041656).

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

10378784 is a wasteful number, since it uses less digits than its factorization.

10378784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 38.

The square root of 10378784 is about 3221.6120188502. The cubic root of 10378784 is about 218.1300461336.

It can be divided in two parts, 103 and 78784, that added together give a palindrome (78887).

The spelling of 10378784 in words is "ten million, three hundred seventy-eight thousand, seven hundred eighty-four".