86589888 has 112 divisors (see below), whose sum is σ = 285682944. Its totient is φ = 22487040.

The previous prime is 86589887. The next prime is 86589907. The reversal of 86589888 is 88898568.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86589883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11856 + ... + 17712.

Almost surely, 2^86589888 is an apocalyptic number.

86589888 is a gapful number since it is divisible by the number (88) 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 86589888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142841472).

86589888 is an abundant number, since it is smaller than the sum of its proper divisors (199093056).

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

86589888 is a wasteful number, since it uses less digits than its factorization.

86589888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5890 (or 5880 counting only the distinct ones).

The product of its digits is 8847360, while the sum is 60.

The square root of 86589888 is about 9305.3687729181. The cubic root of 86589888 is about 442.4074101657.

The spelling of 86589888 in words is "eighty-six million, five hundred eighty-nine thousand, eight hundred eighty-eight".