838975968 has 144 divisors (see below), whose sum is σ = 2582326656. Its totient is φ = 267442560.

The previous prime is 838975937. The next prime is 838975981. The reversal of 838975968 is 869579838.

838975968 is a `hidden beast` number, since 8 + 38 + 9 + 7 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176503 + ... + 181193.

It is an arithmetic number, because the mean of its divisors is an integer number (17932824).

Almost surely, 2^838975968 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 838975968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1291163328).

838975968 is an abundant number, since it is smaller than the sum of its proper divisors (1743350688).

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

838975968 is a wasteful number, since it uses less digits than its factorization.

838975968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4739 (or 4719 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The square root of 838975968 is about 28965.0818745606. The cubic root of 838975968 is about 943.1552219288.

The spelling of 838975968 in words is "eight hundred thirty-eight million, nine hundred seventy-five thousand, nine hundred sixty-eight".