86418000 has 120 divisors (see below), whose sum is σ = 301892136. Its totient is φ = 23040000.

The previous prime is 86417963. The next prime is 86418001. The reversal of 86418000 is 81468.

It can be written as a sum of positive squares in 4 ways, for example, as 2585664 + 83832336 = 1608^2 + 9156^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86418001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15600 + ... + 20400.

Almost surely, 2^86418000 is an apocalyptic number.

86418000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150946068).

86418000 is an abundant number, since it is smaller than the sum of its proper divisors (215474136).

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

86418000 is a wasteful number, since it uses less digits than its factorization.

86418000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 86418000 is about 9296.1282263101. The cubic root of 86418000 is about 442.1144779676.

Adding to 86418000 its reverse (81468), we get a palindrome (86499468).

It can be divided in two parts, 8641 and 8000, that added together give a square (16641 = 129²).

The spelling of 86418000 in words is "eighty-six million, four hundred eighteen thousand".