10438956 has 120 divisors (see below), whose sum is σ = 31101840. Its totient is φ = 3024000.

The previous prime is 10438951. The next prime is 10438963. The reversal of 10438956 is 65983401.

10438956 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 Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10438956.

It is not an unprimeable number, because it can be changed into a prime (10438951) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103306 + ... + 103406.

It is an arithmetic number, because the mean of its divisors is an integer number (259182).

Almost surely, 2^10438956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10438956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15550920).

10438956 is an abundant number, since it is smaller than the sum of its proper divisors (20662884).

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

10438956 is a wasteful number, since it uses less digits than its factorization.

10438956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 10438956 is about 3230.9373252974. The cubic root of 10438956 is about 218.5507774195.

It can be divided in two parts, 1043 and 8956, that added together give a palindrome (9999).

The spelling of 10438956 in words is "ten million, four hundred thirty-eight thousand, nine hundred fifty-six".