1161600667 has 16 divisors (see below), whose sum is σ = 1270380672. Its totient is φ = 1057795200.

The previous prime is 1161600653. The next prime is 1161600733. The reversal of 1161600667 is 7660061611.

It is a cyclic number.

It is not a de Polignac number, because 1161600667 - 2¹¹ = 1161598619 is a prime.

It is a super-2 number, since 2×1161600667² = 2698632219149689778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1161600637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70792 + ... + 85642.

It is an arithmetic number, because the mean of its divisors is an integer number (79398792).

Almost surely, 2^1161600667 is an apocalyptic number.

1161600667 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1161600667 is a deficient number, since it is larger than the sum of its proper divisors (108780005).

1161600667 is a wasteful number, since it uses less digits than its factorization.

1161600667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15018.

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 1161600667 is about 34082.2632317750. The cubic root of 1161600667 is about 1051.2006423015.

The spelling of 1161600667 in words is "one billion, one hundred sixty-one million, six hundred thousand, six hundred sixty-seven".