601128000 has 672 divisors, whose sum is σ = 2529596160. Its totient is φ = 139392000.

The previous prime is 601127999. The next prime is 601128043. The reversal of 601128000 is 821106.

It is a super-2 number, since 2×601128000² = 722709744768000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26135989 + ... + 26136011.

It is an arithmetic number, because the mean of its divisors is an integer number (3764280).

Almost surely, 2^601128000 is an apocalyptic number.

601128000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264798080).

601128000 is an abundant number, since it is smaller than the sum of its proper divisors (1928468160).

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

601128000 is a wasteful number, since it uses less digits than its factorization.

601128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 601128000 is about 24517.9118197289. The cubic root of 601128000 is about 843.9608855588.

Adding to 601128000 its reverse (821106), we get a palindrome (601949106).

The spelling of 601128000 in words is "six hundred one million, one hundred twenty-eight thousand".