86508672 has 128 divisors (see below), whose sum is σ = 246758400. Its totient is φ = 26772480.

The previous prime is 86508671. The next prime is 86508677. The reversal of 86508672 is 27680568.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (86508671) 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, 517933 + ... + 518099.

It is an arithmetic number, because the mean of its divisors is an integer number (1927800).

Almost surely, 2^86508672 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 86508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200).

86508672 is an abundant number, since it is smaller than the sum of its proper divisors (160249728).

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

86508672 is a wasteful number, since it uses less digits than its factorization.

86508672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 86508672 is about 9301.0038167931. The cubic root of 86508672 is about 442.2690499004.

The spelling of 86508672 in words is "eighty-six million, five hundred eight thousand, six hundred seventy-two".