609312672 has 96 divisors (see below), whose sum is σ = 1870747200. Its totient is φ = 192409344.

The previous prime is 609312661. The next prime is 609312679. The reversal of 609312672 is 276213906.

It is a tau number, because it is divible by the number of its divisors (96).

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 (609312679) 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 15 ways as a sum of consecutive naturals, for example, 2143 + ... + 34974.

It is an arithmetic number, because the mean of its divisors is an integer number (19486950).

Almost surely, 2^609312672 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 609312672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935373600).

609312672 is an abundant number, since it is smaller than the sum of its proper divisors (1261434528).

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

609312672 is a wasteful number, since it uses less digits than its factorization.

609312672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37155 (or 37141 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 609312672 is about 24684.2595999961. The cubic root of 609312672 is about 847.7739548207.

The spelling of 609312672 in words is "six hundred nine million, three hundred twelve thousand, six hundred seventy-two".