87312600 has 384 divisors, whose sum is σ = 339264000. Its totient is φ = 20528640.

The previous prime is 87312593. The next prime is 87312611. The reversal of 87312600 is 621378.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2359782 + ... + 2359818.

It is an arithmetic number, because the mean of its divisors is an integer number (883500).

Almost surely, 2^87312600 is an apocalyptic number.

87312600 is the 4995-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87312600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169632000).

87312600 is an abundant number, since it is smaller than the sum of its proper divisors (251951400).

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

87312600 is a wasteful number, since it uses less digits than its factorization.

87312600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 87312600 is about 9344.1211464749. The cubic root of 87312600 is about 443.6348348896.

Adding to 87312600 its reverse (621378), we get a palindrome (87933978).

The spelling of 87312600 in words is "eighty-seven million, three hundred twelve thousand, six hundred".