938112 has 64 divisors (see below), whose sum is σ = 2856000. Its totient is φ = 267264.

The previous prime is 938107. The next prime is 938117. The reversal of 938112 is 211839.

It is an interprime number because it is at equal distance from previous prime (938107) and next prime (938117).

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 a zygodrome in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (938117) by changing a digit.

938112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2514 + ... + 2862.

It is an arithmetic number, because the mean of its divisors is an integer number (44625).

2⁹³⁸¹¹² 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 938112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428000).

938112 is an abundant number, since it is smaller than the sum of its proper divisors (1917888).

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

938112 is a wasteful number, since it uses less digits than its factorization.

938112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 361 counting only the distinct ones).

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

The square root of 938112 is about 968.5618204327. The cubic root of 938112 is about 97.8929832767.

The spelling of 938112 in words is "nine hundred thirty-eight thousand, one hundred twelve".