609136416 has 384 divisors, whose sum is σ = 2206310400. Its totient is φ = 159667200.

The previous prime is 609136397. The next prime is 609136421. The reversal of 609136416 is 614631906.

609136416 is a `hidden beast` number, since 6 + 0 + 9 + 1 + 3 + 641 + 6 = 666.

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

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 63 ways as a sum of consecutive naturals, for example, 4033941 + ... + 4034091.

It is an arithmetic number, because the mean of its divisors is an integer number (5745600).

Almost surely, 2^609136416 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 609136416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103155200).

609136416 is an abundant number, since it is smaller than the sum of its proper divisors (1597173984).

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

609136416 is a wasteful number, since it uses less digits than its factorization.

609136416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 609136416 is about 24680.6891313837. The cubic root of 609136416 is about 847.6922016895.

The spelling of 609136416 in words is "six hundred nine million, one hundred thirty-six thousand, four hundred sixteen".