87248 has 40 divisors (see below), whose sum is σ = 208320. Its totient is φ = 34560.

The previous prime is 87223. The next prime is 87251. The reversal of 87248 is 84278.

It is a super-2 number, since 2×87248² = 15224427008, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 87248.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 87248.

It is an unprimeable number.

87248 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2108 + ... + 2148.

It is an arithmetic number, because the mean of its divisors is an integer number (5208).

2⁸⁷²⁴⁸ 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 87248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104160).

87248 is an abundant number, since it is smaller than the sum of its proper divisors (121072).

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

87248 is a wasteful number, since it uses less digits than its factorization.

87248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 69 counting only the distinct ones).

The product of its digits is 3584, while the sum is 29.

The square root of 87248 is about 295.3777242786. The cubic root of 87248 is about 44.3525397148.

The spelling of 87248 in words is "eighty-seven thousand, two hundred forty-eight".