86742 has 24 divisors (see below), whose sum is σ = 193440. Its totient is φ = 28080.

The previous prime is 86729. The next prime is 86743. The reversal of 86742 is 24768.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86742.

It is not an unprimeable number, because it can be changed into a prime (86743) by changing a digit.

86742 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1059 + ... + 1137.

It is an arithmetic number, because the mean of its divisors is an integer number (8060).

2⁸⁶⁷⁴² is an apocalyptic number.

86742 is an abundant number, since it is smaller than the sum of its proper divisors (106698).

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 (96720).

86742 is a wasteful number, since it uses less digits than its factorization.

86742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 145 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 86742 is about 294.5199483906. The cubic root of 86742 is about 44.2666316874.

It can be divided in two parts, 867 and 42, that added together give a palindrome (909).

The spelling of 86742 in words is "eighty-six thousand, seven hundred forty-two".