86729216 has 60 divisors (see below), whose sum is σ = 201639438. Its totient is φ = 37158912.

The previous prime is 86729213. The next prime is 86729219. The reversal of 86729216 is 61292768.

It is an interprime number because it is at equal distance from previous prime (86729213) and next prime (86729219).

It can be written as a sum of positive squares in only one way, i.e., 86415616 + 313600 = 9296^2 + 560^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86729213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23360 + ... + 26816.

Almost surely, 2^86729216 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 86729216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100819719).

86729216 is an abundant number, since it is smaller than the sum of its proper divisors (114910222).

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

86729216 is an equidigital number, since it uses as much as digits as its factorization.

86729216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3489 (or 3466 counting only the distinct ones).

The product of its digits is 72576, while the sum is 41.

The square root of 86729216 is about 9312.8521946824. The cubic root of 86729216 is about 442.6445691458.

The spelling of 86729216 in words is "eighty-six million, seven hundred twenty-nine thousand, two hundred sixteen".