87321312 has 144 divisors (see below), whose sum is σ = 271606608. Its totient is φ = 26449920.

The previous prime is 87321287. The next prime is 87321323. The reversal of 87321312 is 21312378.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310612 + ... + 310892.

It is an arithmetic number, because the mean of its divisors is an integer number (1886157).

Almost surely, 2^87321312 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 87321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135803304).

87321312 is an abundant number, since it is smaller than the sum of its proper divisors (184285296).

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

87321312 is a wasteful number, since it uses less digits than its factorization.

87321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 382 counting only the distinct ones).

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

The square root of 87321312 is about 9344.5873103096. The cubic root of 87321312 is about 443.6495896068.

The spelling of 87321312 in words is "eighty-seven million, three hundred twenty-one thousand, three hundred twelve".