10938032 has 40 divisors (see below), whose sum is σ = 24632352. Its totient is φ = 4608000.

The previous prime is 10938023. The next prime is 10938119. The reversal of 10938032 is 23083901.

10938032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10937992 and 10938010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6032 + ... + 7632.

Almost surely, 2^10938032 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 10938032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12316176).

10938032 is an abundant number, since it is smaller than the sum of its proper divisors (13694320).

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

10938032 is a wasteful number, since it uses less digits than its factorization.

10938032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1677 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 10938032 is about 3307.2695686926. The cubic root of 10938032 is about 221.9795993482.

The spelling of 10938032 in words is "ten million, nine hundred thirty-eight thousand, thirty-two".