630612544 has 63 divisors (see below), whose sum is σ = 1298940633. Its totient is φ = 303754752.

The previous prime is 630612539. The next prime is 630612547. The reversal of 630612544 is 445216036.

The square root of 630612544 is 25112.

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., 357966400 + 272646144 = 18920^2 + 16512^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (630612547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8638492 + ... + 8638564.

Almost surely, 2^630612544 is an apocalyptic number.

630612544 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

630612544 is the 25112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 630612544

630612544 is an abundant number, since it is smaller than the sum of its proper divisors (668328089).

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

630612544 is an frugal number, since it uses more digits than its factorization.

630612544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The cubic root of 630612544 is about 857.5396345440.

The spelling of 630612544 in words is "six hundred thirty million, six hundred twelve thousand, five hundred forty-four".