10687167 has 16 divisors (see below), whose sum is σ = 16380000. Its totient is φ = 6878592.

The previous prime is 10687153. The next prime is 10687207. The reversal of 10687167 is 76178601.

It is a happy number.

It is not a de Polignac number, because 10687167 - 2¹⁹ = 10162879 is a prime.

It is a super-2 number, since 2×10687167² = 228431076971778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10687667) 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 15 ways as a sum of consecutive naturals, for example, 6042 + ... + 7607.

It is an arithmetic number, because the mean of its divisors is an integer number (1023750).

Almost surely, 2^10687167 is an apocalyptic number.

10687167 is a deficient number, since it is larger than the sum of its proper divisors (5692833).

10687167 is a wasteful number, since it uses less digits than its factorization.

10687167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13687 (or 13681 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 10687167 is about 3269.1232769659. The cubic root of 10687167 is about 220.2694151148.

The spelling of 10687167 in words is "ten million, six hundred eighty-seven thousand, one hundred sixty-seven".