86960 has 20 divisors (see below), whose sum is σ = 202368. Its totient is φ = 34752.

The previous prime is 86959. The next prime is 86969. The reversal of 86960 is 6968.

86960 = T₁₈₄ + T₁₈₅ + ... + T₁₈₈.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (86969) 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, 464 + ... + 623.

2⁸⁶⁹⁶⁰ is an apocalyptic number.

86960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86960 is an abundant number, since it is smaller than the sum of its proper divisors (115408).

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 (101184).

86960 is a wasteful number, since it uses less digits than its factorization.

86960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 86960 is about 294.8898099291. The cubic root of 86960 is about 44.3036842983.

It can be divided in two parts, 869 and 60, that added together give a palindrome (929).

The spelling of 86960 in words is "eighty-six thousand, nine hundred sixty".