86705120 has 48 divisors (see below), whose sum is σ = 207340560. Its totient is φ = 34258944.

The previous prime is 86705111. The next prime is 86705173. The reversal of 86705120 is 2150768.

It is a congruent number.

It is an unprimeable number.

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, 10016 + ... + 16544.

It is an arithmetic number, because the mean of its divisors is an integer number (4319595).

Almost surely, 2^86705120 is an apocalyptic number.

86705120 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 86705120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103670280).

86705120 is an abundant number, since it is smaller than the sum of its proper divisors (120635440).

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

86705120 is a wasteful number, since it uses less digits than its factorization.

86705120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6627 (or 6619 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 86705120 is about 9311.5584087735. The cubic root of 86705120 is about 442.6035719980.

Adding to 86705120 its reverse (2150768), we get a palindrome (88855888).

The spelling of 86705120 in words is "eighty-six million, seven hundred five thousand, one hundred twenty".