938080 has 96 divisors (see below), whose sum is σ = 2667168. Its totient is φ = 307200.

The previous prime is 938071. The next prime is 938083. The reversal of 938080 is 80839.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (938083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22860 + ... + 22900.

It is an arithmetic number, because the mean of its divisors is an integer number (27783).

2⁹³⁸⁰⁸⁰ 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 938080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333584).

938080 is an abundant number, since it is smaller than the sum of its proper divisors (1729088).

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

938080 is a wasteful number, since it uses less digits than its factorization.

938080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 938080 is about 968.5453009540. The cubic root of 938080 is about 97.8918701860.

The spelling of 938080 in words is "nine hundred thirty-eight thousand, eighty".