938784768 has 96 divisors (see below), whose sum is σ = 2556852480. Its totient is φ = 306176000.

The previous prime is 938784739. The next prime is 938784853. The reversal of 938784768 is 867487839.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287143 + ... + 290393.

It is an arithmetic number, because the mean of its divisors is an integer number (26633880).

Almost surely, 2^938784768 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 938784768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278426240).

938784768 is an abundant number, since it is smaller than the sum of its proper divisors (1618067712).

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

938784768 is a wasteful number, since it uses less digits than its factorization.

938784768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3323 (or 3303 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 60.

The square root of 938784768 is about 30639.5947753883. The cubic root of 938784768 is about 979.1637903651.

The spelling of 938784768 in words is "nine hundred thirty-eight million, seven hundred eighty-four thousand, seven hundred sixty-eight".