10338816 has 80 divisors (see below), whose sum is σ = 28283904. Its totient is φ = 3354624.

The previous prime is 10338787. The next prime is 10338821. The reversal of 10338816 is 61883301.

It is a super-2 number, since 2×10338816² = 213782232563712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81345 + ... + 81471.

Almost surely, 2^10338816 is an apocalyptic number.

10338816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10338816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14141952).

10338816 is an abundant number, since it is smaller than the sum of its proper divisors (17945088).

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

10338816 is an equidigital number, since it uses as much as digits as its factorization.

10338816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 10338816 is about 3215.4029296497. The cubic root of 10338816 is about 217.8496845555.

The spelling of 10338816 in words is "ten million, three hundred thirty-eight thousand, eight hundred sixteen".