86999328 has 144 divisors (see below), whose sum is σ = 280687680. Its totient is φ = 25339392.

The previous prime is 86999323. The next prime is 86999351. The reversal of 86999328 is 82399968.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (86999323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70525 + ... + 71747.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 2^86999328 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 86999328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140343840).

86999328 is an abundant number, since it is smaller than the sum of its proper divisors (193688352).

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

86999328 is a wasteful number, since it uses less digits than its factorization.

86999328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271 (or 1260 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 86999328 is about 9327.3430300381. The cubic root of 86999328 is about 443.1036212990.

The spelling of 86999328 in words is "eighty-six million, nine hundred ninety-nine thousand, three hundred twenty-eight".