86381232 has 80 divisors (see below), whose sum is σ = 256150272. Its totient is φ = 24572160.

The previous prime is 86381189. The next prime is 86381237. The reversal of 86381232 is 23218368.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 86381193 and 86381202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86381237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106107 + ... + 106917.

Almost surely, 2^86381232 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 86381232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128075136).

86381232 is an abundant number, since it is smaller than the sum of its proper divisors (169769040).

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

86381232 is a wasteful number, since it uses less digits than its factorization.

86381232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1140 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 86381232 is about 9294.1504184083. The cubic root of 86381232 is about 442.0517673784.

It can be divided in two parts, 8638 and 1232, that added together give a triangular number (9870 = T₁₄₀).

The spelling of 86381232 in words is "eighty-six million, three hundred eighty-one thousand, two hundred thirty-two".