630785520 has 240 divisors, whose sum is σ = 2228428800. Its totient is φ = 159690240.

The previous prime is 630785497. The next prime is 630785521. The reversal of 630785520 is 25587036.

630785520 is a `hidden beast` number, since 6 + 30 + 78 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630785521) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1316641 + ... + 1317119.

It is an arithmetic number, because the mean of its divisors is an integer number (9285120).

Almost surely, 2^630785520 is an apocalyptic number.

630785520 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 630785520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114214400).

630785520 is an abundant number, since it is smaller than the sum of its proper divisors (1597643280).

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

630785520 is a wasteful number, since it uses less digits than its factorization.

630785520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 630785520 is about 25115.4438543299. The cubic root of 630785520 is about 857.6180346207.

The spelling of 630785520 in words is "six hundred thirty million, seven hundred eighty-five thousand, five hundred twenty".