87523616 has 48 divisors (see below), whose sum is σ = 183367800. Its totient is φ = 40980480.

The previous prime is 87523613. The next prime is 87523627. The reversal of 87523616 is 61632578.

It can be written as a sum of positive squares in 4 ways, for example, as 83539600 + 3984016 = 9140^2 + 1996^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 87523616.

It is not an unprimeable number, because it can be changed into a prime (87523613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189626 + ... + 190086.

Almost surely, 2^87523616 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 87523616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91683900).

87523616 is an abundant number, since it is smaller than the sum of its proper divisors (95844184).

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

87523616 is a wasteful number, since it uses less digits than its factorization.

87523616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 829 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 87523616 is about 9355.4057100694. The cubic root of 87523616 is about 443.9919377374.

The spelling of 87523616 in words is "eighty-seven million, five hundred twenty-three thousand, six hundred sixteen".