86711328 has 144 divisors (see below), whose sum is σ = 272668032. Its totient is φ = 25920000.

The previous prime is 86711327. The next prime is 86711347. The reversal of 86711328 is 82311768.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 86711292 and 86711301.

It is not an unprimeable number, because it can be changed into a prime (86711321) 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, 319833 + ... + 320103.

It is an arithmetic number, because the mean of its divisors is an integer number (1893528).

Almost surely, 2^86711328 is an apocalyptic number.

86711328 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 86711328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136334016).

86711328 is an abundant number, since it is smaller than the sum of its proper divisors (185956704).

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

86711328 is a wasteful number, since it uses less digits than its factorization.

86711328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 86711328 is about 9311.8917519482. The cubic root of 86711328 is about 442.6141350705.

It can be divided in two parts, 8671 and 1328, that added together give a palindrome (9999).

The spelling of 86711328 in words is "eighty-six million, seven hundred eleven thousand, three hundred twenty-eight".