606151728 has 320 divisors, whose sum is σ = 2269854720. Its totient is φ = 150294528.

The previous prime is 606151703. The next prime is 606151759. The reversal of 606151728 is 827151606.

606151728 is a `hidden beast` number, since 6 + 0 + 615 + 17 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 606151692 and 606151701.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 667851 + ... + 668757.

It is an arithmetic number, because the mean of its divisors is an integer number (7093296).

Almost surely, 2^606151728 is an apocalyptic number.

606151728 is a gapful number since it is divisible by the number (68) 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 606151728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134927360).

606151728 is an abundant number, since it is smaller than the sum of its proper divisors (1663702992).

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

606151728 is a wasteful number, since it uses less digits than its factorization.

606151728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 606151728 is about 24620.1488216461. The cubic root of 606151728 is about 846.3054075651.

The spelling of 606151728 in words is "six hundred six million, one hundred fifty-one thousand, seven hundred twenty-eight".