10838672 has 40 divisors (see below), whose sum is σ = 22873536. Its totient is φ = 4945536.

The previous prime is 10838671. The next prime is 10838689. The reversal of 10838672 is 27683801.

It is not an unprimeable number, because it can be changed into a prime (10838671) 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, 22013 + ... + 22499.

Almost surely, 2^10838672 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 10838672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11436768).

10838672 is an abundant number, since it is smaller than the sum of its proper divisors (12034864).

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

10838672 is a wasteful number, since it uses less digits than its factorization.

10838672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 10838672 is about 3292.2138448163. The cubic root of 10838672 is about 221.3054068732.

The spelling of 10838672 in words is "ten million, eight hundred thirty-eight thousand, six hundred seventy-two".