10386208 has 48 divisors (see below), whose sum is σ = 23587200. Its totient is φ = 4409856.

The previous prime is 10386203. The next prime is 10386227. The reversal of 10386208 is 80268301.

10386208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (10386203) 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, 44460 + ... + 44692.

It is an arithmetic number, because the mean of its divisors is an integer number (491400).

Almost surely, 2^10386208 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 10386208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793600).

10386208 is an abundant number, since it is smaller than the sum of its proper divisors (13200992).

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

10386208 is a wasteful number, since it uses less digits than its factorization.

10386208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 10386208 is about 3222.7640310764. The cubic root of 10386208 is about 218.1820436025.

The spelling of 10386208 in words is "ten million, three hundred eighty-six thousand, two hundred eight".