86381100 has 288 divisors, whose sum is σ = 314979840. Its totient is φ = 20148480.

The previous prime is 86381081. The next prime is 86381101. The reversal of 86381100 is 118368.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (86381101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 807247 + ... + 807353.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 2^86381100 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 86381100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

86381100 is an abundant number, since it is smaller than the sum of its proper divisors (228598740).

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

86381100 is a wasteful number, since it uses less digits than its factorization.

86381100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 86381100 is about 9294.1433171648. The cubic root of 86381100 is about 442.0515422105.

Adding to 86381100 its reverse (118368), we get a palindrome (86499468).

The spelling of 86381100 in words is "eighty-six million, three hundred eighty-one thousand, one hundred".