86861100 has 72 divisors (see below), whose sum is σ = 253247680. Its totient is φ = 22985280.

The previous prime is 86861081. The next prime is 86861107. The reversal of 86861100 is 116868.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (86861107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 40659 + ... + 42741.

Almost surely, 2^86861100 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 86861100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126623840).

86861100 is an abundant number, since it is smaller than the sum of its proper divisors (166386580).

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

86861100 is a wasteful number, since it uses less digits than its factorization.

86861100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2239 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 86861100 is about 9319.9302572498. The cubic root of 86861100 is about 442.8688233379.

Adding to 86861100 its reverse (116868), we get a palindrome (86977968).

The spelling of 86861100 in words is "eighty-six million, eight hundred sixty-one thousand, one hundred".