938960 has 60 divisors (see below), whose sum is σ = 2424324. Its totient is φ = 337920.

The previous prime is 938953. The next prime is 938963. The reversal of 938960 is 69839.

938960 = T₁₈ + T₁₉ + ... + T₁₇₇.

938960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 969²-1.

It can be written as a sum of positive squares in 2 ways, for example, as 379456 + 559504 = 616^2 + 748^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 938960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (938963) by changing a digit.

938960 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 11 ways as a sum of consecutive naturals, for example, 9632 + ... + 9728.

2⁹³⁸⁹⁶⁰ 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 938960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212162).

938960 is an abundant number, since it is smaller than the sum of its proper divisors (1485364).

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

938960 is a wasteful number, since it uses less digits than its factorization.

938960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The square root of 938960 is about 968.9994840040. Note that the first 3 decimals coincide. The cubic root of 938960 is about 97.9224709602.

It can be divided in two parts, 9389 and 60, that added together give a palindrome (9449).

The spelling of 938960 in words is "nine hundred thirty-eight thousand, nine hundred sixty".