1007879568 has 20 divisors (see below), whose sum is σ = 2603689008. Its totient is φ = 335959840.

The previous prime is 1007879563. The next prime is 1007879581. The reversal of 1007879568 is 8659787001.

It is a self number, because there is not a number n which added to its sum of digits gives 1007879568.

It is not an unprimeable number, because it can be changed into a prime (1007879563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10498698 + ... + 10498793.

Almost surely, 2^1007879568 is an apocalyptic number.

It is an amenable number.

1007879568 is an abundant number, since it is smaller than the sum of its proper divisors (1595809440).

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

1007879568 is a wasteful number, since it uses less digits than its factorization.

1007879568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20997502 (or 20997496 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 51.

The square root of 1007879568 is about 31747.1190503957. The cubic root of 1007879568 is about 1002.6196540866.

The spelling of 1007879568 in words is "one billion, seven million, eight hundred seventy-nine thousand, five hundred sixty-eight".