10438506 has 48 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 3106080.

The previous prime is 10438501. The next prime is 10438517. The reversal of 10438506 is 60583401.

It is a self number, because there is not a number n which added to its sum of digits gives 10438506.

It is not an unprimeable number, because it can be changed into a prime (10438501) 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, 6535 + ... + 7973.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 2^10438506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10438506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

10438506 is an abundant number, since it is smaller than the sum of its proper divisors (14721174).

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

10438506 is a wasteful number, since it uses less digits than its factorization.

10438506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1488 counting only the distinct ones).

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

The square root of 10438506 is about 3230.8676853130. The cubic root of 10438506 is about 218.5476369629.

It can be divided in two parts, 10 and 438506, that added together give a triangular number (438516 = T₉₃₆).

The spelling of 10438506 in words is "ten million, four hundred thirty-eight thousand, five hundred six".