630108072 has 160 divisors (see below), whose sum is σ = 1945389600. Its totient is φ = 188956800.

The previous prime is 630108067. The next prime is 630108079. The reversal of 630108072 is 270801036.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (630108079) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 776547 + ... + 777357.

It is an arithmetic number, because the mean of its divisors is an integer number (12158685).

Almost surely, 2^630108072 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 630108072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972694800).

630108072 is an abundant number, since it is smaller than the sum of its proper divisors (1315281528).

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

630108072 is a wasteful number, since it uses less digits than its factorization.

630108072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 630108072 is about 25101.9535494750. The cubic root of 630108072 is about 857.3109044799.

The spelling of 630108072 in words is "six hundred thirty million, one hundred eight thousand, seventy-two".