1630767006 has 80 divisors (see below), whose sum is σ = 3995671680. Its totient is φ = 493013520.

The previous prime is 1630767001. The next prime is 1630767049. The reversal of 1630767006 is 6007670361.

1630767006 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1630767001) 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, 1045255 + ... + 1046813.

It is an arithmetic number, because the mean of its divisors is an integer number (49945896).

Almost surely, 2^1630767006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1630767006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997835840).

1630767006 is an abundant number, since it is smaller than the sum of its proper divisors (2364904674).

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

1630767006 is a wasteful number, since it uses less digits than its factorization.

1630767006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2162 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 1630767006 is about 40382.7562952308. The cubic root of 1630767006 is about 1177.0564876004.

The spelling of 1630767006 in words is "one billion, six hundred thirty million, seven hundred sixty-seven thousand, six".