838601568 has 144 divisors (see below), whose sum is σ = 2885893920. Its totient is φ = 225497088.

The previous prime is 838601557. The next prime is 838601591. The reversal of 838601568 is 865106838.

838601568 is a `hidden beast` number, since 8 + 3 + 86 + 0 + 1 + 568 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 22038 + ... + 46506.

It is an arithmetic number, because the mean of its divisors is an integer number (20040930).

Almost surely, 2^838601568 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 838601568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442946960).

838601568 is an abundant number, since it is smaller than the sum of its proper divisors (2047292352).

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

838601568 is a wasteful number, since it uses less digits than its factorization.

838601568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24509 (or 24498 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 838601568 is about 28958.6181990785. The cubic root of 838601568 is about 943.0149041013.

The spelling of 838601568 in words is "eight hundred thirty-eight million, six hundred one thousand, five hundred sixty-eight".