10438880 has 48 divisors (see below), whose sum is σ = 25147584. Its totient is φ = 4093440.

The previous prime is 10438873. The next prime is 10438889. The reversal of 10438880 is 8883401.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10438889) 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 7 ways as a sum of consecutive naturals, for example, 7865 + ... + 9095.

It is an arithmetic number, because the mean of its divisors is an integer number (523908).

Almost surely, 2^10438880 is an apocalyptic number.

10438880 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 10438880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12573792).

10438880 is an abundant number, since it is smaller than the sum of its proper divisors (14708704).

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

10438880 is a wasteful number, since it uses less digits than its factorization.

10438880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1291 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 10438880 is about 3230.9255639832. The cubic root of 10438880 is about 218.5502470376.

The spelling of 10438880 in words is "ten million, four hundred thirty-eight thousand, eight hundred eighty".