87312500 has 84 divisors (see below), whose sum is σ = 209997312. Its totient is φ = 31500000.

The previous prime is 87312497. The next prime is 87312509. The reversal of 87312500 is 521378.

It is a self number, because there is not a number n which added to its sum of digits gives 87312500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87312509) 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 27 ways as a sum of consecutive naturals, for example, 687437 + ... + 687563.

It is an arithmetic number, because the mean of its divisors is an integer number (2499968).

Almost surely, 2^87312500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104998656).

87312500 is an abundant number, since it is smaller than the sum of its proper divisors (122684812).

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

87312500 is a wasteful number, since it uses less digits than its factorization.

87312500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 87312500 is about 9344.1157955154. The cubic root of 87312500 is about 443.6346655231.

Adding to 87312500 its reverse (521378), we get a palindrome (87833878).

The spelling of 87312500 in words is "eighty-seven million, three hundred twelve thousand, five hundred".