87002067600 has 630 divisors, whose sum is σ = 364615979490. Its totient is φ = 19882920960.

The previous prime is 87002067589. The next prime is 87002067601. The reversal of 87002067600 is 676020078.

It can be written as a sum of positive squares in 3 ways, for example, as 960752016 + 86041315584 = 30996^2 + 293328^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87002067601) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 14285356 + ... + 14291444.

It is an arithmetic number, because the mean of its divisors is an integer number (578755523).

Almost surely, 2^87002067600 is an apocalyptic number.

87002067600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87002067600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182307989745).

87002067600 is an abundant number, since it is smaller than the sum of its proper divisors (277613911890).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

87002067600 is a wasteful number, since it uses less digits than its factorization.

87002067600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6139 (or 6106 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 87002067600 its reverse (676020078), we get a palindrome (87678087678).

The spelling of 87002067600 in words is "eighty-seven billion, two million, sixty-seven thousand, six hundred".