864107667 has 12 divisors (see below), whose sum is σ = 1254073704. Its totient is φ = 573340320.

The previous prime is 864107663. The next prime is 864107683. The reversal of 864107667 is 766701468.

It is not a de Polignac number, because 864107667 - 2² = 864107663 is a prime.

It is not an unprimeable number, because it can be changed into a prime (864107663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225618 + ... + 229415.

It is an arithmetic number, because the mean of its divisors is an integer number (104506142).

Almost surely, 2^864107667 is an apocalyptic number.

864107667 is a deficient number, since it is larger than the sum of its proper divisors (389966037).

864107667 is a wasteful number, since it uses less digits than its factorization.

864107667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455250 (or 455247 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 864107667 is about 29395.7083092073. The cubic root of 864107667 is about 952.4801922018.

The spelling of 864107667 in words is "eight hundred sixty-four million, one hundred seven thousand, six hundred sixty-seven".