87995712 has 112 divisors (see below), whose sum is σ = 268175232. Its totient is φ = 24944640.

The previous prime is 87995693. The next prime is 87995729. The reversal of 87995712 is 21759978.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 313012 + ... + 313292.

Almost surely, 2^87995712 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 87995712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134087616).

87995712 is an abundant number, since it is smaller than the sum of its proper divisors (180179520).

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

87995712 is a wasteful number, since it uses less digits than its factorization.

87995712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 526 counting only the distinct ones).

The product of its digits is 317520, while the sum is 48.

The square root of 87995712 is about 9380.6029656947. The cubic root of 87995712 is about 444.7887934309.

The spelling of 87995712 in words is "eighty-seven million, nine hundred ninety-five thousand, seven hundred twelve".