87315536 has 120 divisors (see below), whose sum is σ = 225610560. Its totient is φ = 31933440.

The previous prime is 87315533. The next prime is 87315551. The reversal of 87315536 is 63551378.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 87315536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87315533) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230195 + ... + 230573.

It is an arithmetic number, because the mean of its divisors is an integer number (1880088).

Almost surely, 2^87315536 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 87315536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112805280).

87315536 is an abundant number, since it is smaller than the sum of its proper divisors (138295024).

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

87315536 is a wasteful number, since it uses less digits than its factorization.

87315536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 416 counting only the distinct ones).

The product of its digits is 75600, while the sum is 38.

The square root of 87315536 is about 9344.2782492817. The cubic root of 87315536 is about 443.6398074338.

The spelling of 87315536 in words is "eighty-seven million, three hundred fifteen thousand, five hundred thirty-six".