86216000 has 112 divisors (see below), whose sum is σ = 230215440. Its totient is φ = 31795200.

The previous prime is 86215963. The next prime is 86216021. The reversal of 86216000 is 61268.

It can be written as a sum of positive squares in 8 ways, for example, as 41165056 + 45050944 = 6416^2 + 6712^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103586 + ... + 104414.

It is an arithmetic number, because the mean of its divisors is an integer number (2055495).

Almost surely, 2^86216000 is an apocalyptic number.

86216000 is a gapful number since it is divisible by the number (80) 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 86216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115107720).

86216000 is an abundant number, since it is smaller than the sum of its proper divisors (143999440).

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

86216000 is a wasteful number, since it uses less digits than its factorization.

86216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 86216000 is about 9285.2571316038. The cubic root of 86216000 is about 441.7697318905.

Adding to 86216000 its reverse (61268), we get a palindrome (86277268).

The spelling of 86216000 in words is "eighty-six million, two hundred sixteen thousand".