86189472 has 108 divisors (see below), whose sum is σ = 258992370. Its totient is φ = 27184896.

The previous prime is 86189471. The next prime is 86189531. The reversal of 86189472 is 27498168.

It can be written as a sum of positive squares in only one way, i.e., 71166096 + 15023376 = 8436^2 + 3876^2 .

It is not an unprimeable number, because it can be changed into a prime (86189471) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 103554 + ... + 104382.

Almost surely, 2^86189472 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 86189472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129496185).

86189472 is an abundant number, since it is smaller than the sum of its proper divisors (172802898).

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

86189472 is a wasteful number, since it uses less digits than its factorization.

86189472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 853 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 86189472 is about 9283.8285206051. The cubic root of 86189472 is about 441.7244175265.

The spelling of 86189472 in words is "eighty-six million, one hundred eighty-nine thousand, four hundred seventy-two".