606506000 has 80 divisors (see below), whose sum is σ = 1517246640. Its totient is φ = 234214400.

The previous prime is 606505993. The next prime is 606506023. The reversal of 606506000 is 605606.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 74373376 + 532132624 = 8624^2 + 23068^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52772 + ... + 63228.

It is an arithmetic number, because the mean of its divisors is an integer number (18965583).

Almost surely, 2^606506000 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 606506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758623320).

606506000 is an abundant number, since it is smaller than the sum of its proper divisors (910740640).

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

606506000 is a wasteful number, since it uses less digits than its factorization.

606506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10509 (or 10493 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 606506000 is about 24627.3425281738. The cubic root of 606506000 is about 846.4702529347.

The spelling of 606506000 in words is "six hundred six million, five hundred six thousand".