84168007 has 32 divisors (see below), whose sum is σ = 111366144. Its totient is φ = 61689600.

The previous prime is 84168001. The next prime is 84168061. The reversal of 84168007 is 70086148.

It is a happy number.

It is not a de Polignac number, because 84168007 - 2³ = 84167999 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84168001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87843 + ... + 88795.

It is an arithmetic number, because the mean of its divisors is an integer number (3480192).

Almost surely, 2^84168007 is an apocalyptic number.

84168007 is a deficient number, since it is larger than the sum of its proper divisors (27198137).

84168007 is a wasteful number, since it uses less digits than its factorization.

84168007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039.

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 84168007 is about 9174.3123448027. The cubic root of 84168007 is about 438.2436996513.

The spelling of 84168007 in words is "eighty-four million, one hundred sixty-eight thousand, seven".