630171648 has 144 divisors (see below), whose sum is σ = 1839801600. Its totient is φ = 207790080.

The previous prime is 630171617. The next prime is 630171671. The reversal of 630171648 is 846171036.

630171648 is a `hidden beast` number, since 6 + 3 + 0 + 1 + 7 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 3299233 + ... + 3299423.

It is an arithmetic number, because the mean of its divisors is an integer number (12776400).

Almost surely, 2^630171648 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 630171648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919900800).

630171648 is an abundant number, since it is smaller than the sum of its proper divisors (1209629952).

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

630171648 is a wasteful number, since it uses less digits than its factorization.

630171648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 630171648 is about 25103.2198731557. The cubic root of 630171648 is about 857.3397368699.

The spelling of 630171648 in words is "six hundred thirty million, one hundred seventy-one thousand, six hundred forty-eight".