88848 has 30 divisors (see below), whose sum is σ = 249054. Its totient is φ = 29568.

The previous prime is 88843. The next prime is 88853. The reversal of 88848 is 84888.

It is an interprime number because it is at equal distance from previous prime (88843) and next prime (88853).

It can be written as a sum of positive squares in only one way, i.e., 51984 + 36864 = 228^2 + 192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (88843) 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 5 ways as a sum of consecutive naturals, for example, 165 + ... + 452.

2⁸⁸⁸⁴⁸ is an apocalyptic number.

It is an amenable number.

88848 is an abundant number, since it is smaller than the sum of its proper divisors (160206).

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

88848 is a wasteful number, since it uses less digits than its factorization.

88848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 622 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 88848 is about 298.0738163610. The cubic root of 88848 is about 44.6220191969.

It can be divided in two parts, 888 and 48, that multiplied together give a palindrome (42624).

The spelling of 88848 in words is "eighty-eight thousand, eight hundred forty-eight".