10438080 has 112 divisors (see below), whose sum is σ = 33796224. Its totient is φ = 2728960.

The previous prime is 10438079. The next prime is 10438081. The reversal of 10438080 is 8083401.

It is an interprime number because it is at equal distance from previous prime (10438079) and next prime (10438081).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10438080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10438081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79615 + ... + 79745.

It is an arithmetic number, because the mean of its divisors is an integer number (301752).

Almost surely, 2^10438080 is an apocalyptic number.

10438080 is a gapful number since it is divisible by the number (10) 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 10438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16898112).

10438080 is an abundant number, since it is smaller than the sum of its proper divisors (23358144).

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

10438080 is a wasteful number, since it uses less digits than its factorization.

10438080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10438080 is about 3230.8017580780. The cubic root of 10438080 is about 218.5446639142.

The spelling of 10438080 in words is "ten million, four hundred thirty-eight thousand, eighty".