86843232 has 192 divisors, whose sum is σ = 294658560. Its totient is φ = 24371712.

The previous prime is 86843231. The next prime is 86843261. The reversal of 86843232 is 23234868.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86843231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501898 + ... + 502070.

It is an arithmetic number, because the mean of its divisors is an integer number (1534680).

Almost surely, 2^86843232 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 86843232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147329280).

86843232 is an abundant number, since it is smaller than the sum of its proper divisors (207815328).

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

86843232 is a wasteful number, since it uses less digits than its factorization.

86843232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 86843232 is about 9318.9716170831. The cubic root of 86843232 is about 442.8384540748.

It can be divided in two parts, 868 and 43232, that added together give a square (44100 = 210²).

The spelling of 86843232 in words is "eighty-six million, eight hundred forty-three thousand, two hundred thirty-two".