88840 has 16 divisors (see below), whose sum is σ = 199980. Its totient is φ = 35520.

The previous prime is 88819. The next prime is 88843. The reversal of 88840 is 4888.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 88804 + 36 = 298^2 + 6^2 .

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 88799 and 88808.

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 3 ways as a sum of consecutive naturals, for example, 1071 + ... + 1150.

2⁸⁸⁸⁴⁰ is an apocalyptic number.

It is an amenable number.

88840 is an abundant number, since it is smaller than the sum of its proper divisors (111140).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99990).

88840 is a wasteful number, since it uses less digits than its factorization.

88840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2232 (or 2228 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 88840 is about 298.0603965642. The cubic root of 88840 is about 44.6206798800.

It can be divided in two parts, 88 and 840, that multiplied together give a triangular number (73920 = T₃₈₄).

The spelling of 88840 in words is "eighty-eight thousand, eight hundred forty".