609638000 has 160 divisors (see below), whose sum is σ = 1594719360. Its totient is φ = 224716800.

The previous prime is 609637997. The next prime is 609638041. The reversal of 609638000 is 836906.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1333772 + ... + 1334228.

It is an arithmetic number, because the mean of its divisors is an integer number (9966996).

Almost surely, 2^609638000 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 609638000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797359680).

609638000 is an abundant number, since it is smaller than the sum of its proper divisors (985081360).

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

609638000 is a wasteful number, since it uses less digits than its factorization.

609638000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 609638000 is about 24690.8485070886. The cubic root of 609638000 is about 847.9248108842.

The spelling of 609638000 in words is "six hundred nine million, six hundred thirty-eight thousand".