10438320 has 160 divisors (see below), whose sum is σ = 35426304. Its totient is φ = 2534400.

The previous prime is 10438303. The next prime is 10438361. The reversal of 10438320 is 2383401.

It is a happy number.

10438320 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171090 + ... + 171150.

Almost surely, 2^10438320 is an apocalyptic number.

10438320 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 10438320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713152).

10438320 is an abundant number, since it is smaller than the sum of its proper divisors (24987984).

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

10438320 is a wasteful number, since it uses less digits than its factorization.

10438320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10438320 is about 3230.8389003477. The cubic root of 10438320 is about 218.5463388812.

The spelling of 10438320 in words is "ten million, four hundred thirty-eight thousand, three hundred twenty".