87322536 has 256 divisors, whose sum is σ = 302284800. Its totient is φ = 23094720.

The previous prime is 87322531. The next prime is 87322541. The reversal of 87322536 is 63522378.

It is an interprime number because it is at equal distance from previous prime (87322531) and next prime (87322541).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 87322536.

It is not an unprimeable number, because it can be changed into a prime (87322531) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2816841 + ... + 2816871.

It is an arithmetic number, because the mean of its divisors is an integer number (1180800).

Almost surely, 2^87322536 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 87322536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151142400).

87322536 is an abundant number, since it is smaller than the sum of its proper divisors (214962264).

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

87322536 is a wasteful number, since it uses less digits than its factorization.

87322536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 66 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 87322536 is about 9344.6528025390. The cubic root of 87322536 is about 443.6516625049.

It can be divided in two parts, 873 and 22536, that added together give a square (23409 = 153²).

The spelling of 87322536 in words is "eighty-seven million, three hundred twenty-two thousand, five hundred thirty-six".