86784432 has 80 divisors (see below), whose sum is σ = 257816832. Its totient is φ = 24641280.

The previous prime is 86784409. The next prime is 86784437. The reversal of 86784432 is 23448768.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is not an unprimeable number, because it can be changed into a prime (86784437) 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, 60103 + ... + 61529.

Almost surely, 2^86784432 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 86784432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128908416).

86784432 is an abundant number, since it is smaller than the sum of its proper divisors (171032400).

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

86784432 is a wasteful number, since it uses less digits than its factorization.

86784432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1620 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 86784432 is about 9315.8162283291. The cubic root of 86784432 is about 442.7384855087.

The spelling of 86784432 in words is "eighty-six million, seven hundred eighty-four thousand, four hundred thirty-two".