86232432 has 160 divisors (see below), whose sum is σ = 277482240. Its totient is φ = 22671360.

The previous prime is 86232427. The next prime is 86232463. The reversal of 86232432 is 23423268.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86232432.

It is a congruent number.

It is an unprimeable number.

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, 116319 + ... + 117057.

It is an arithmetic number, because the mean of its divisors is an integer number (1734264).

Almost surely, 2^86232432 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 86232432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138741120).

86232432 is an abundant number, since it is smaller than the sum of its proper divisors (191249808).

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

86232432 is a wasteful number, since it uses less digits than its factorization.

86232432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 785 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

The square root of 86232432 is about 9286.1419330096. The cubic root of 86232432 is about 441.7977958968.

The spelling of 86232432 in words is "eighty-six million, two hundred thirty-two thousand, four hundred thirty-two".