86238432 has 240 divisors, whose sum is σ = 298821600. Its totient is φ = 24385536.

The previous prime is 86238421. The next prime is 86238437. The reversal of 86238432 is 23483268.

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 (86238437) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 889008 + ... + 889104.

It is an arithmetic number, because the mean of its divisors is an integer number (1245090).

Almost surely, 2^86238432 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 86238432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149410800).

86238432 is an abundant number, since it is smaller than the sum of its proper divisors (212583168).

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

86238432 is an equidigital number, since it uses as much as digits as its factorization.

86238432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 109 counting only the distinct ones).

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

The square root of 86238432 is about 9286.4649894349. The cubic root of 86238432 is about 441.8080423329.

The spelling of 86238432 in words is "eighty-six million, two hundred thirty-eight thousand, four hundred thirty-two".