86418900 has 180 divisors, whose sum is σ = 287356608. Its totient is φ = 22455360.

The previous prime is 86418881. The next prime is 86418977. The reversal of 86418900 is 981468.

It is a happy number.

86418900 is a `hidden beast` number, since 8 + 641 + 8 + 9 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 380587 + ... + 380813.

Almost surely, 2^86418900 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 86418900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143678304).

86418900 is an abundant number, since it is smaller than the sum of its proper divisors (200937708).

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

86418900 is a wasteful number, since it uses less digits than its factorization.

86418900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 86418900 is about 9296.1766334338. The cubic root of 86418900 is about 442.1160127623.

The spelling of 86418900 in words is "eighty-six million, four hundred eighteen thousand, nine hundred".