1007630071 has 24 divisors (see below), whose sum is σ = 1185891840. Its totient is φ = 856119768.

The previous prime is 1007630053. The next prime is 1007630089. The reversal of 1007630071 is 1700367001.

It is an interprime number because it is at equal distance from previous prime (1007630053) and next prime (1007630089).

It is not a de Polignac number, because 1007630071 - 2¹⁹ = 1007105783 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007630671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2806590 + ... + 2806948.

It is an arithmetic number, because the mean of its divisors is an integer number (49412160).

Almost surely, 2^1007630071 is an apocalyptic number.

1007630071 is a deficient number, since it is larger than the sum of its proper divisors (178261769).

1007630071 is an frugal number, since it uses more digits than its factorization.

1007630071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 25.

The square root of 1007630071 is about 31743.1893640195. The cubic root of 1007630071 is about 1002.5369156167.

Adding to 1007630071 its reverse (1700367001), we get a palindrome (2707997072).

The spelling of 1007630071 in words is "one billion, seven million, six hundred thirty thousand, seventy-one".