610566656 has 60 divisors (see below), whose sum is σ = 1419173118. Its totient is φ = 261660672.

The previous prime is 610566647. The next prime is 610566659. The reversal of 610566656 is 656665016.

It can be written as a sum of positive squares in only one way, i.e., 309197056 + 301369600 = 17584^2 + 17360^2 .

It is not an unprimeable number, because it can be changed into a prime (610566659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12920 + ... + 37256.

Almost surely, 2^610566656 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 610566656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709586559).

610566656 is an abundant number, since it is smaller than the sum of its proper divisors (808606462).

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

610566656 is an equidigital number, since it uses as much as digits as its factorization.

610566656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24369 (or 24346 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The square root of 610566656 is about 24709.6470229747. The cubic root of 610566656 is about 848.3551378283.

The spelling of 610566656 in words is "six hundred ten million, five hundred sixty-six thousand, six hundred fifty-six".