938420640 has 480 divisors, whose sum is σ = 3615131520. Its totient is φ = 228427776.

The previous prime is 938420611. The next prime is 938420641. The reversal of 938420640 is 46024839.

It is a happy number.

938420640 is a `hidden beast` number, since 9 + 3 + 8 + 4 + 2 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 938420595 and 938420604.

It is not an unprimeable number, because it can be changed into a prime (938420641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9110829 + ... + 9110931.

It is an arithmetic number, because the mean of its divisors is an integer number (7531524).

Almost surely, 2^938420640 is an apocalyptic number.

938420640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 938420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807565760).

938420640 is an abundant number, since it is smaller than the sum of its proper divisors (2676710880).

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

938420640 is a wasteful number, since it uses less digits than its factorization.

938420640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 938420640 is about 30633.6520839419. The cubic root of 938420640 is about 979.0371773677.

The spelling of 938420640 in words is "nine hundred thirty-eight million, four hundred twenty thousand, six hundred forty".