606005800 has 96 divisors (see below), whose sum is σ = 1503888120. Its totient is φ = 226304000.

The previous prime is 606005791. The next prime is 606005831. The reversal of 606005800 is 8500606.

It can be written as a sum of positive squares in 12 ways, for example, as 2910436 + 603095364 = 1706^2 + 24558^2 .

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 465150 + ... + 466450.

Almost surely, 2^606005800 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 606005800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751944060).

606005800 is an abundant number, since it is smaller than the sum of its proper divisors (897882320).

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

606005800 is a wasteful number, since it uses less digits than its factorization.

606005800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 606005800 is about 24617.1850543477. The cubic root of 606005800 is about 846.2374875149.

The spelling of 606005800 in words is "six hundred six million, five thousand, eight hundred".