10038912 has 64 divisors (see below), whose sum is σ = 28731360. Its totient is φ = 3087360.

The previous prime is 10038911. The next prime is 10038913. The reversal of 10038912 is 21983001.

It is an interprime number because it is at equal distance from previous prime (10038911) and next prime (10038913).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10038911) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3987 + ... + 5997.

Almost surely, 2^10038912 is an apocalyptic number.

10038912 is a gapful number since it is divisible by the number (12) 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 10038912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14365680).

10038912 is an abundant number, since it is smaller than the sum of its proper divisors (18692448).

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

10038912 is a wasteful number, since it uses less digits than its factorization.

10038912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10038912 is about 3168.4242140219. The cubic root of 10038912 is about 215.7225518687.

The spelling of 10038912 in words is "ten million, thirty-eight thousand, nine hundred twelve".