1007668489 has 16 divisors (see below), whose sum is σ = 1090175760. Its totient is φ = 927846400.

The previous prime is 1007668483. The next prime is 1007668499. The reversal of 1007668489 is 9848667001.

1007668489 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 388405264 + 619263225 = 19708^2 + 24885^2 .

It is not a de Polignac number, because 1007668489 - 2¹¹ = 1007666441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1007668483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 359907 + ... + 362695.

It is an arithmetic number, because the mean of its divisors is an integer number (68135985).

Almost surely, 2^1007668489 is an apocalyptic number.

It is an amenable number.

1007668489 is a deficient number, since it is larger than the sum of its proper divisors (82507271).

1007668489 is a wasteful number, since it uses less digits than its factorization.

1007668489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3260.

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 1007668489 is about 31743.7944959326. The cubic root of 1007668489 is about 1002.5496567257.

The spelling of 1007668489 in words is "one billion, seven million, six hundred sixty-eight thousand, four hundred eighty-nine".