87048 has 64 divisors (see below), whose sum is σ = 268800. Its totient is φ = 25920.

The previous prime is 87041. The next prime is 87049. The reversal of 87048 is 84078.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2793 + ... + 2823.

It is an arithmetic number, because the mean of its divisors is an integer number (4200).

2⁸⁷⁰⁴⁸ 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 87048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134400).

87048 is an abundant number, since it is smaller than the sum of its proper divisors (181752).

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

87048 is a wasteful number, since it uses less digits than its factorization.

87048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 87048 is about 295.0389804755. The cubic root of 87048 is about 44.3186237718.

It can be divided in two parts, 8 and 7048, that added together give a square (7056 = 84²).

The spelling of 87048 in words is "eighty-seven thousand, forty-eight".