86805216 has 48 divisors (see below), whose sum is σ = 253184400. Its totient is φ = 28934784.

The previous prime is 86805211. The next prime is 86805221. The reversal of 86805216 is 61250868.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86805211) and next prime (86805221).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86805211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49371 + ... + 51098.

It is an arithmetic number, because the mean of its divisors is an integer number (5274675).

Almost surely, 2^86805216 is an apocalyptic number.

It is an amenable number.

86805216 is an abundant number, since it is smaller than the sum of its proper divisors (166379184).

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

86805216 is a wasteful number, since it uses less digits than its factorization.

86805216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100488 (or 100474 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 86805216 is about 9316.9316837680. The cubic root of 86805216 is about 442.7738264947.

The spelling of 86805216 in words is "eighty-six million, eight hundred five thousand, two hundred sixteen".