86352 has 40 divisors (see below), whose sum is σ = 255936. Its totient is φ = 24576.

The previous prime is 86351. The next prime is 86353. The reversal of 86352 is 25368.

It is an interprime number because it is at equal distance from previous prime (86351) and next prime (86353).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 86352.

It is not an unprimeable number, because it can be changed into a prime (86351) 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, 208 + ... + 464.

2⁸⁶³⁵² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127968).

86352 is an abundant number, since it is smaller than the sum of its proper divisors (169584).

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

86352 is a wasteful number, since it uses less digits than its factorization.

86352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 269 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 86352 is about 293.8571081325. The cubic root of 86352 is about 44.2001897305.

The spelling of 86352 in words is "eighty-six thousand, three hundred fifty-two".