87960 has 32 divisors (see below), whose sum is σ = 264240. Its totient is φ = 23424.

The previous prime is 87959. The next prime is 87961. The reversal of 87960 is 6978.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (87959) and next prime (87961).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247 + ... + 486.

2⁸⁷⁹⁶⁰ is an apocalyptic number.

It is an amenable number.

87960 is an abundant number, since it is smaller than the sum of its proper divisors (176280).

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 (132120).

87960 is a wasteful number, since it uses less digits than its factorization.

87960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 87960 is about 296.5805118345. The cubic root of 87960 is about 44.4728614564.

Adding to 87960 its sum of digits (30), we get a triangular number (87990 = T₄₁₉).

It can be divided in two parts, 879 and 60, that added together give a palindrome (939).

The spelling of 87960 in words is "eighty-seven thousand, nine hundred sixty".