86198112 has 432 divisors, whose sum is σ = 345316608. Its totient is φ = 19768320.

The previous prime is 86198107. The next prime is 86198129. The reversal of 86198112 is 21189168.

It is a super-2 number, since 2×86198112² = 14860229024729088, which contains 22 as substring.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3747733 + ... + 3747755.

It is an arithmetic number, because the mean of its divisors is an integer number (799344).

Almost surely, 2^86198112 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 86198112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172658304).

86198112 is an abundant number, since it is smaller than the sum of its proper divisors (259118496).

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

86198112 is a wasteful number, since it uses less digits than its factorization.

86198112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 59 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 86198112 is about 9284.2938342127. The cubic root of 86198112 is about 441.7391771460.

The spelling of 86198112 in words is "eighty-six million, one hundred ninety-eight thousand, one hundred twelve".