609684960 has 192 divisors, whose sum is σ = 1990517760. Its totient is φ = 156764160.

The previous prime is 609684953. The next prime is 609684979. The reversal of 609684960 is 69486906.

It is a super-3 number, since 3×609684960³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2249625 + ... + 2249895.

It is an arithmetic number, because the mean of its divisors is an integer number (10367280).

Almost surely, 2^609684960 is an apocalyptic number.

609684960 is a gapful number since it is divisible by the number (60) 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 609684960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995258880).

609684960 is an abundant number, since it is smaller than the sum of its proper divisors (1380832800).

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

609684960 is a wasteful number, since it uses less digits than its factorization.

609684960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 609684960 is about 24691.7994483999. The cubic root of 609684960 is about 847.9465820154.

The spelling of 609684960 in words is "six hundred nine million, six hundred eighty-four thousand, nine hundred sixty".