606328000 has 112 divisors (see below), whose sum is σ = 1580997600. Its totient is φ = 229708800.

The previous prime is 606327973. The next prime is 606328013. The reversal of 606328000 is 823606.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150006 + ... + 153994.

It is an arithmetic number, because the mean of its divisors is an integer number (14116050).

Almost surely, 2^606328000 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 606328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790498800).

606328000 is an abundant number, since it is smaller than the sum of its proper divisors (974669600).

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

606328000 is a wasteful number, since it uses less digits than its factorization.

606328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4035 (or 4015 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 606328000 is about 24623.7283935638. The cubic root of 606328000 is about 846.3874362506.

The spelling of 606328000 in words is "six hundred six million, three hundred twenty-eight thousand".