938320 has 40 divisors (see below), whose sum is σ = 2247624. Its totient is φ = 364032.

The previous prime is 938309. The next prime is 938323. The reversal of 938320 is 23839.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 868624 = 264^2 + 932^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (938323) 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, 2802 + ... + 3118.

2⁹³⁸³²⁰ 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 938320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123812).

938320 is an abundant number, since it is smaller than the sum of its proper divisors (1309304).

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

938320 is a wasteful number, since it uses less digits than its factorization.

938320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 938320 is about 968.6691901779. The cubic root of 938320 is about 97.9002177490.

Subtracting from 938320 its product of nonzero digits (1296), we obtain a square (937024 = 968²).

The spelling of 938320 in words is "nine hundred thirty-eight thousand, three hundred twenty".