606305952 has 192 divisors, whose sum is σ = 2140266240. Its totient is φ = 163012608.

The previous prime is 606305951. The next prime is 606305957. The reversal of 606305952 is 259503606.

606305952 is a `hidden beast` number, since 6 + 0 + 63 + 0 + 595 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (606305951) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 99868 + ... + 105764.

It is an arithmetic number, because the mean of its divisors is an integer number (11147220).

Almost surely, 2^606305952 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 606305952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070133120).

606305952 is an abundant number, since it is smaller than the sum of its proper divisors (1533960288).

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

606305952 is a wasteful number, since it uses less digits than its factorization.

606305952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5940 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 606305952 is about 24623.2806912483. The cubic root of 606305952 is about 846.3771770200.

The spelling of 606305952 in words is "six hundred six million, three hundred five thousand, nine hundred fifty-two".