87940 has 12 divisors (see below), whose sum is σ = 184716. Its totient is φ = 35168.

The previous prime is 87931. The next prime is 87943. The reversal of 87940 is 4978.

It can be written as a sum of positive squares in 2 ways, for example, as 36864 + 51076 = 192^2 + 226^2 .

It is a junction number, because it is equal to n+sod(n) for n = 87899 and 87908.

It is not an unprimeable number, because it can be changed into a prime (87943) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2179 + ... + 2218.

It is an arithmetic number, because the mean of its divisors is an integer number (15393).

2⁸⁷⁹⁴⁰ is an apocalyptic number.

It is an amenable number.

87940 is an abundant number, since it is smaller than the sum of its proper divisors (96776).

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 (92358).

87940 is a wasteful number, since it uses less digits than its factorization.

87940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 87940 is about 296.5467922605. The cubic root of 87940 is about 44.4694905126.

It can be divided in two parts, 879 and 40, that added together give a palindrome (919).

The spelling of 87940 in words is "eighty-seven thousand, nine hundred forty".