10378824 has 64 divisors (see below), whose sum is σ = 27086400. Its totient is φ = 3311616.

The previous prime is 10378817. The next prime is 10378829. The reversal of 10378824 is 42887301.

10378824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10378829) 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, 91792 + ... + 91904.

It is an arithmetic number, because the mean of its divisors is an integer number (423225).

Almost surely, 2^10378824 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 10378824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13543200).

10378824 is an abundant number, since it is smaller than the sum of its proper divisors (16707576).

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

10378824 is a wasteful number, since it uses less digits than its factorization.

10378824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 10378824 is about 3221.6182269164. The cubic root of 10378824 is about 218.1303263588.

The spelling of 10378824 in words is "ten million, three hundred seventy-eight thousand, eight hundred twenty-four".