1020007667 has 24 divisors (see below), whose sum is σ = 1271558736. Its totient is φ = 812894208.

The previous prime is 1020007643. The next prime is 1020007679. The reversal of 1020007667 is 7667000201.

It is not a de Polignac number, because 1020007667 - 2⁶ = 1020007603 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1020007697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61763 + ... + 76515.

It is an arithmetic number, because the mean of its divisors is an integer number (52981614).

Almost surely, 2^1020007667 is an apocalyptic number.

1020007667 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1020007667 is a deficient number, since it is larger than the sum of its proper divisors (251551069).

1020007667 is a wasteful number, since it uses less digits than its factorization.

1020007667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14867 (or 14860 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The square root of 1020007667 is about 31937.5588766581. The cubic root of 1020007667 is about 1006.6252317029.

Adding to 1020007667 its reverse (7667000201), we get a palindrome (8687007868).

The spelling of 1020007667 in words is "one billion, twenty million, seven thousand, six hundred sixty-seven".