86220432 has 60 divisors (see below), whose sum is σ = 242762364. Its totient is φ = 28565760.

The previous prime is 86220403. The next prime is 86220437. The reversal of 86220432 is 23402268.

86220432 is a `hidden beast` number, since 8 + 6 + 220 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49787136 + 36433296 = 7056^2 + 6036^2 .

It is a super-3 number, since 3×86220432³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86220396 and 86220405.

It is not an unprimeable number, because it can be changed into a prime (86220437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23182 + ... + 26642.

Almost surely, 2^86220432 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 86220432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121381182).

86220432 is an abundant number, since it is smaller than the sum of its proper divisors (156541932).

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

86220432 is a wasteful number, since it uses less digits than its factorization.

86220432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3648 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 86220432 is about 9285.4957864403. The cubic root of 86220432 is about 441.7773015988. Note that the first 3 decimals are identical.

The spelling of 86220432 in words is "eighty-six million, two hundred twenty thousand, four hundred thirty-two".