630556146 has 192 divisors, whose sum is σ = 1667143296. Its totient is φ = 170035200.

The previous prime is 630556139. The next prime is 630556153. The reversal of 630556146 is 641655036.

630556146 is a `hidden beast` number, since 6 + 30 + 5 + 5 + 614 + 6 = 666.

630556146 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (630556139) and next prime (630556153).

It is a self number, because there is not a number n which added to its sum of digits gives 630556146.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7597021 + ... + 7597103.

It is an arithmetic number, because the mean of its divisors is an integer number (8683038).

Almost surely, 2^630556146 is an apocalyptic number.

630556146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 630556146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833571648).

630556146 is an abundant number, since it is smaller than the sum of its proper divisors (1036587150).

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

630556146 is a wasteful number, since it uses less digits than its factorization.

630556146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 630556146 is about 25110.8770456151. The cubic root of 630556146 is about 857.5140694737.

The spelling of 630556146 in words is "six hundred thirty million, five hundred fifty-six thousand, one hundred forty-six".