605668000 has 192 divisors, whose sum is σ = 1725954048. Its totient is φ = 204595200.

The previous prime is 605667989. The next prime is 605668001. The reversal of 605668000 is 866506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (605668001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2715889 + ... + 2716111.

It is an arithmetic number, because the mean of its divisors is an integer number (8989344).

Almost surely, 2^605668000 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 605668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862977024).

605668000 is an abundant number, since it is smaller than the sum of its proper divisors (1120286048).

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

605668000 is a wasteful number, since it uses less digits than its factorization.

605668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 605668000 is about 24610.3230372947. The cubic root of 605668000 is about 846.0802216085.

The spelling of 605668000 in words is "six hundred five million, six hundred sixty-eight thousand".