87313824 has 72 divisors (see below), whose sum is σ = 267410052. Its totient is φ = 26864640.

The previous prime is 87313783. The next prime is 87313829. The reversal of 87313824 is 42831378.

It can be written as a sum of positive squares in 2 ways, for example, as 83393424 + 3920400 = 9132^2 + 1980^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (87313829) 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 11 ways as a sum of consecutive naturals, for example, 7917 + ... + 15404.

Almost surely, 2^87313824 is an apocalyptic number.

It is an amenable number.

87313824 is an abundant number, since it is smaller than the sum of its proper divisors (180096228).

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

87313824 is a wasteful number, since it uses less digits than its factorization.

87313824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23350 (or 23339 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 87313824 is about 9344.1866419716. The cubic root of 87313824 is about 443.6369079257.

The spelling of 87313824 in words is "eighty-seven million, three hundred thirteen thousand, eight hundred twenty-four".