1007630672 has 20 divisors (see below), whose sum is σ = 1956047796. Its totient is φ = 502844160.

The previous prime is 1007630671. The next prime is 1007630717. The reversal of 1007630672 is 2760367001.

It can be written as a sum of positive squares in 2 ways, for example, as 269747776 + 737882896 = 16424^2 + 27164^2 .

It is a super-3 number, since 3×1007630672³ (a number of 28 digits) contains 333 as substring.

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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52103 + ... + 68774.

Almost surely, 2^1007630672 is an apocalyptic number.

It is an amenable number.

1007630672 is a deficient number, since it is larger than the sum of its proper divisors (948417124).

1007630672 is a wasteful number, since it uses less digits than its factorization.

1007630672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121406 (or 121400 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 1007630672 is about 31743.1988306157. The cubic root of 1007630672 is about 1002.5371149374.

Adding to 1007630672 its reverse (2760367001), we get a palindrome (3767997673).

The spelling of 1007630672 in words is "one billion, seven million, six hundred thirty thousand, six hundred seventy-two".