87648 has 48 divisors (see below), whose sum is σ = 254016. Its totient is φ = 26240.

The previous prime is 87643. The next prime is 87649. The reversal of 87648 is 84678.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 87648.

It is not an unprimeable number, because it can be changed into a prime (87641) by changing a digit.

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, 1015 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2⁸⁷⁶⁴⁸ is an apocalyptic number.

87648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008).

87648 is an abundant number, since it is smaller than the sum of its proper divisors (166368).

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

87648 is a wasteful number, since it uses less digits than its factorization.

87648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 99 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 87648 is about 296.0540491194. The cubic root of 87648 is about 44.4202164246.

The spelling of 87648 in words is "eighty-seven thousand, six hundred forty-eight".