86705652 has 96 divisors (see below), whose sum is σ = 232735104. Its totient is φ = 24883200.

The previous prime is 86705651. The next prime is 86705711. The reversal of 86705652 is 25650768.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 86705652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86705651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200028 + ... + 200460.

It is an arithmetic number, because the mean of its divisors is an integer number (2424324).

Almost surely, 2^86705652 is an apocalyptic number.

86705652 is a gapful number since it is divisible by the number (82) 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 86705652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116367552).

86705652 is an abundant number, since it is smaller than the sum of its proper divisors (146029452).

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

86705652 is a wasteful number, since it uses less digits than its factorization.

86705652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 86705652 is about 9311.5869753764. The cubic root of 86705652 is about 442.6044772295.

The spelling of 86705652 in words is "eighty-six million, seven hundred five thousand, six hundred fifty-two".