606505536 has 672 divisors, whose sum is σ = 2432304000. Its totient is φ = 146313216.

The previous prime is 606505463. The next prime is 606505573. The reversal of 606505536 is 635505606.

It is a happy number.

606505536 is a `hidden beast` number, since 60 + 65 + 0 + 5 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 606505536.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20913970 + ... + 20913998.

It is an arithmetic number, because the mean of its divisors is an integer number (3619500).

Almost surely, 2^606505536 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 606505536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216152000).

606505536 is an abundant number, since it is smaller than the sum of its proper divisors (1825798464).

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

606505536 is a wasteful number, since it uses less digits than its factorization.

606505536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 606505536 is about 24627.3331077484. Note that the first 3 decimals coincide. The cubic root of 606505536 is about 846.4700370741.

The spelling of 606505536 in words is "six hundred six million, five hundred five thousand, five hundred thirty-six".