1007126667 has 12 divisors (see below), whose sum is σ = 1501665984. Its totient is φ = 649758960.

The previous prime is 1007126639. The next prime is 1007126741. The reversal of 1007126667 is 7666217001.

It is not a de Polignac number, because 1007126667 - 2⁸ = 1007126411 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1007126467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1804608 + ... + 1805165.

It is an arithmetic number, because the mean of its divisors is an integer number (125138832).

Almost surely, 2^1007126667 is an apocalyptic number.

1007126667 is a deficient number, since it is larger than the sum of its proper divisors (494539317).

1007126667 is a wasteful number, since it uses less digits than its factorization.

1007126667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3609810 (or 3609807 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1007126667 is about 31735.2590504631. The cubic root of 1007126667 is about 1002.3699346395.

The spelling of 1007126667 in words is "one billion, seven million, one hundred twenty-six thousand, six hundred sixty-seven".