606730800 has 480 divisors, whose sum is σ = 2324851200. Its totient is φ = 133816320.

The previous prime is 606730793. The next prime is 606730811. The reversal of 606730800 is 8037606.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 6817156 + ... + 6817244.

It is an arithmetic number, because the mean of its divisors is an integer number (4843440).

Almost surely, 2^606730800 is an apocalyptic number.

606730800 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 606730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162425600).

606730800 is an abundant number, since it is smaller than the sum of its proper divisors (1718120400).

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

606730800 is a wasteful number, since it uses less digits than its factorization.

606730800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 606730800 is about 24631.9061381778. The cubic root of 606730800 is about 846.5748207422.

The spelling of 606730800 in words is "six hundred six million, seven hundred thirty thousand, eight hundred".