87322663424 has 80 divisors (see below), whose sum is σ = 175530718440. Its totient is φ = 43398021120.

The previous prime is 87322663411. The next prime is 87322663457. The reversal of 87322663424 is 42436622378.

It can be written as a sum of positive squares in 4 ways, for example, as 71438598400 + 15884065024 = 267280^2 + 126032^2 .

It is a super-2 number, since 2×87322663424² (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 106360934 + ... + 106361754.

Almost surely, 2^87322663424 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 87322663424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87765359220).

87322663424 is an abundant number, since it is smaller than the sum of its proper divisors (88208055016).

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

87322663424 is an equidigital number, since it uses as much as digits as its factorization.

87322663424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1841 (or 1825 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 47.

The spelling of 87322663424 in words is "eighty-seven billion, three hundred twenty-two million, six hundred sixty-three thousand, four hundred twenty-four".