630165312 has 224 divisors, whose sum is σ = 2155545600. Its totient is φ = 176795136.

The previous prime is 630165311. The next prime is 630165317. The reversal of 630165312 is 213561036.

630165312 is a `hidden beast` number, since 6 + 3 + 0 + 1 + 653 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630165311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 713223 + ... + 714105.

Almost surely, 2^630165312 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 630165312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077772800).

630165312 is an abundant number, since it is smaller than the sum of its proper divisors (1525380288).

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

630165312 is a wasteful number, since it uses less digits than its factorization.

630165312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 630165312 is about 25103.0936738881. The cubic root of 630165312 is about 857.3368635137.

The spelling of 630165312 in words is "six hundred thirty million, one hundred sixty-five thousand, three hundred twelve".