86863104 has 180 divisors, whose sum is σ = 267109920. Its totient is φ = 28062720.

The previous prime is 86863061. The next prime is 86863123. The reversal of 86863104 is 40136868.

It is a happy number.

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 (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1223389 + ... + 1223459.

It is an arithmetic number, because the mean of its divisors is an integer number (1483944).

Almost surely, 2^86863104 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 86863104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133554960).

86863104 is an abundant number, since it is smaller than the sum of its proper divisors (180246816).

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

86863104 is an equidigital number, since it uses as much as digits as its factorization.

86863104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 86863104 is about 9320.0377681638. The cubic root of 86863104 is about 442.8722291674.

The spelling of 86863104 in words is "eighty-six million, eight hundred sixty-three thousand, one hundred four".