86100000 has 288 divisors, whose sum is σ = 330728832. Its totient is φ = 19200000.

The previous prime is 86099977. The next prime is 86100059. The reversal of 86100000 is 168.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2099980 + ... + 2100020.

It is an arithmetic number, because the mean of its divisors is an integer number (1148364).

Almost surely, 2^86100000 is an apocalyptic number.

86100000 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 86100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165364416).

86100000 is an abundant number, since it is smaller than the sum of its proper divisors (244628832).

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

86100000 is an equidigital number, since it uses as much as digits as its factorization.

86100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 86100000 is about 9279.0085677296. The cubic root of 86100000 is about 441.5715154385.

Adding to 86100000 its reverse (168), we get a palindrome (86100168).

The spelling of 86100000 in words is "eighty-six million, one hundred thousand".