10381824 has 80 divisors (see below), whose sum is σ = 30771840. Its totient is φ = 3456000.

The previous prime is 10381823. The next prime is 10381829. The reversal of 10381824 is 42818301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10381823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13449 + ... + 14199.

It is an arithmetic number, because the mean of its divisors is an integer number (384648).

Almost surely, 2^10381824 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 10381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15385920).

10381824 is an abundant number, since it is smaller than the sum of its proper divisors (20390016).

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

10381824 is an frugal number, since it uses more digits than its factorization.

10381824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10381824 is about 3222.0837977930. The cubic root of 10381824 is about 218.1513411975.

The spelling of 10381824 in words is "ten million, three hundred eighty-one thousand, eight hundred twenty-four".