87536268 has 96 divisors (see below), whose sum is σ = 247296000. Its totient is φ = 26671680.

The previous prime is 87536263. The next prime is 87536279. The reversal of 87536268 is 86263578.

It is not an unprimeable number, because it can be changed into a prime (87536263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58773 + ... + 60243.

It is an arithmetic number, because the mean of its divisors is an integer number (2576000).

Almost surely, 2^87536268 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 87536268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123648000).

87536268 is an abundant number, since it is smaller than the sum of its proper divisors (159759732).

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

87536268 is a wasteful number, since it uses less digits than its factorization.

87536268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1524 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 87536268 is about 9356.0818722369. The cubic root of 87536268 is about 444.0133304982.

The spelling of 87536268 in words is "eighty-seven million, five hundred thirty-six thousand, two hundred sixty-eight".