87360006007 has 8 divisors (see below), whose sum is σ = 91960790400. Its totient is φ = 82759510584.

The previous prime is 87360005983. The next prime is 87360006017. The reversal of 87360006007 is 70060006378.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 87360006007 - 2⁷ = 87360005879 is a prime.

It is a super-3 number, since 3×87360006007³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87360006017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 850878 + ... + 948004.

It is an arithmetic number, because the mean of its divisors is an integer number (11495098800).

Almost surely, 2^87360006007 is an apocalyptic number.

87360006007 is a deficient number, since it is larger than the sum of its proper divisors (4600784393).

87360006007 is a wasteful number, since it uses less digits than its factorization.

87360006007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144485.

The product of its (nonzero) digits is 42336, while the sum is 37.

The spelling of 87360006007 in words is "eighty-seven billion, three hundred sixty million, six thousand, seven".