10438560 has 144 divisors (see below), whose sum is σ = 38918880. Its totient is φ = 2526720.

The previous prime is 10438541. The next prime is 10438567. The reversal of 10438560 is 6583401.

10438560 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (10438567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15511 + ... + 16169.

It is an arithmetic number, because the mean of its divisors is an integer number (270270).

Almost surely, 2^10438560 is an apocalyptic number.

10438560 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 10438560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19459440).

10438560 is an abundant number, since it is smaller than the sum of its proper divisors (28480320).

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

10438560 is a wasteful number, since it uses less digits than its factorization.

10438560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 10438560 is about 3230.8760421904. The cubic root of 10438560 is about 218.5480138225.

The spelling of 10438560 in words is "ten million, four hundred thirty-eight thousand, five hundred sixty".