10438816 has 48 divisors (see below), whose sum is σ = 22498560. Its totient is φ = 4746240.

The previous prime is 10438807. The next prime is 10438817. The reversal of 10438816 is 61883401.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (10438817) 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, 16555 + ... + 17173.

It is an arithmetic number, because the mean of its divisors is an integer number (468720).

Almost surely, 2^10438816 is an apocalyptic number.

10438816 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 10438816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249280).

10438816 is an abundant number, since it is smaller than the sum of its proper divisors (12059744).

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

10438816 is a wasteful number, since it uses less digits than its factorization.

10438816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 10438816 is about 3230.9156596853. The cubic root of 10438816 is about 218.5498003982.

The spelling of 10438816 in words is "ten million, four hundred thirty-eight thousand, eight hundred sixteen".