398006568 has 64 divisors (see below), whose sum is σ = 1112068800. Its totient is φ = 131889600.

The previous prime is 398006561. The next prime is 398006597. The reversal of 398006568 is 865600893.

398006568 is a `hidden beast` number, since 3 + 9 + 80 + 0 + 6 + 568 = 666.

It is a super-2 number, since 2×398006568² = 316818456342277248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (398006561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32043 + ... + 42693.

It is an arithmetic number, because the mean of its divisors is an integer number (17376075).

Almost surely, 2^398006568 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 398006568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556034400).

398006568 is an abundant number, since it is smaller than the sum of its proper divisors (714062232).

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

398006568 is a wasteful number, since it uses less digits than its factorization.

398006568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10839 (or 10829 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 398006568 is about 19950.1019546267. The cubic root of 398006568 is about 735.5802831032.

The spelling of 398006568 in words is "three hundred ninety-eight million, six thousand, five hundred sixty-eight".