1006161607 has 16 divisors (see below), whose sum is σ = 1137991680. Its totient is φ = 881598400.

The previous prime is 1006161589. The next prime is 1006161623. The reversal of 1006161607 is 7061616001.

It is not a de Polignac number, because 1006161607 - 2⁷ = 1006161479 is a prime.

It is a super-2 number, since 2×1006161607² = 2024722358801644898, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006141607) 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, 23994 + ... + 50872.

It is an arithmetic number, because the mean of its divisors is an integer number (71124480).

Almost surely, 2^1006161607 is an apocalyptic number.

1006161607 is a deficient number, since it is larger than the sum of its proper divisors (131830073).

1006161607 is a wasteful number, since it uses less digits than its factorization.

1006161607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27014.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 1006161607 is about 31720.0505516621. The cubic root of 1006161607 is about 1002.0496650031.

Adding to 1006161607 its reverse (7061616001), we get a palindrome (8067777608).

The spelling of 1006161607 in words is "one billion, six million, one hundred sixty-one thousand, six hundred seven".