609537312 has 336 divisors, whose sum is σ = 2007928440. Its totient is φ = 181149696.

The previous prime is 609537311. The next prime is 609537337. The reversal of 609537312 is 213735906.

609537312 is a `hidden beast` number, since 609 + 5 + 37 + 3 + 12 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 601034256 + 8503056 = 24516^2 + 2916^2 .

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

It is not an unprimeable number, because it can be changed into a prime (609537311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11500678 + ... + 11500730.

Almost surely, 2^609537312 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 609537312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003964220).

609537312 is an abundant number, since it is smaller than the sum of its proper divisors (1398391128).

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

609537312 is a wasteful number, since it uses less digits than its factorization.

609537312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 609537312 is about 24688.8094488171. The cubic root of 609537312 is about 847.8781271396.

It can be divided in two parts, 60953 and 7312, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 609537312 in words is "six hundred nine million, five hundred thirty-seven thousand, three hundred twelve".