601028000 has 192 divisors, whose sum is σ = 1577511936. Its totient is φ = 224640000.

The previous prime is 601027991. The next prime is 601028033. The reversal of 601028000 is 820106.

601028000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×601028000² = 722469313568000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 601028000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4587935 + ... + 4588065.

It is an arithmetic number, because the mean of its divisors is an integer number (8216208).

Almost surely, 2^601028000 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 601028000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788755968).

601028000 is an abundant number, since it is smaller than the sum of its proper divisors (976483936).

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

601028000 is a wasteful number, since it uses less digits than its factorization.

601028000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 601028000 is about 24515.8724095228. The cubic root of 601028000 is about 843.9140842293.

Adding to 601028000 its reverse (820106), we get a palindrome (601848106).

The spelling of 601028000 in words is "six hundred one million, twenty-eight thousand".