86409216 has 96 divisors (see below), whose sum is σ = 250474770. Its totient is φ = 28704768.

The previous prime is 86409209. The next prime is 86409223. The reversal of 86409216 is 61290468.

86409216 is a `hidden beast` number, since 8 + 640 + 9 + 2 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (86409209) and next prime (86409223).

It can be written as a sum of positive squares in only one way, i.e., 53231616 + 33177600 = 7296^2 + 5760^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 294766 + ... + 295058.

Almost surely, 2^86409216 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 86409216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125237385).

86409216 is an abundant number, since it is smaller than the sum of its proper divisors (164065554).

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

86409216 is an equidigital number, since it uses as much as digits as its factorization.

86409216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 86409216 is about 9295.6557595470. The cubic root of 86409216 is about 442.0994978124.

The spelling of 86409216 in words is "eighty-six million, four hundred nine thousand, two hundred sixteen".