86769216 has 84 divisors (see below), whose sum is σ = 251434092. Its totient is φ = 28606464.

The previous prime is 86769211. The next prime is 86769233. The reversal of 86769216 is 61296768.

It can be written as a sum of positive squares in 2 ways, for example, as 22127616 + 64641600 = 4704^2 + 8040^2 .

It is not an unprimeable number, because it can be changed into a prime (86769211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55096 + ... + 56648.

It is an arithmetic number, because the mean of its divisors is an integer number (2993263).

Almost surely, 2^86769216 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 86769216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125717046).

86769216 is an abundant number, since it is smaller than the sum of its proper divisors (164664876).

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

86769216 is a wasteful number, since it uses less digits than its factorization.

86769216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1655 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 86769216 is about 9314.9995169082. Note that the first 3 decimals coincide. The cubic root of 86769216 is about 442.7126087380.

The spelling of 86769216 in words is "eighty-six million, seven hundred sixty-nine thousand, two hundred sixteen".