605553664 has 33 divisors (see below), whose sum is σ = 1212092157. Its totient is φ = 302383104.

The previous prime is 605553647. The next prime is 605553667. The reversal of 605553664 is 466355506.

It is a happy number.

The square root of 605553664 is 24608.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 236913664 + 368640000 = 15392^2 + 19200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (605553667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 787072 + ... + 787840.

Almost surely, 2^605553664 is an apocalyptic number.

605553664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

605553664 is the 24608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 605553664

605553664 is an abundant number, since it is smaller than the sum of its proper divisors (606538493).

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

605553664 is an frugal number, since it uses more digits than its factorization.

605553664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 40.

The cubic root of 605553664 is about 846.0269781835.

The spelling of 605553664 in words is "six hundred five million, five hundred fifty-three thousand, six hundred sixty-four".