86206960 has 40 divisors (see below), whose sum is σ = 229065696. Its totient is φ = 29556480.

The previous prime is 86206931. The next prime is 86206963. The reversal of 86206960 is 6960268.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86206963) 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 7 ways as a sum of consecutive naturals, for example, 76411 + ... + 77530.

Almost surely, 2^86206960 is an apocalyptic number.

86206960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86206960 is an abundant number, since it is smaller than the sum of its proper divisors (142858736).

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

86206960 is a wasteful number, since it uses less digits than its factorization.

86206960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153961 (or 153955 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 86206960 is about 9284.7703256462. The cubic root of 86206960 is about 441.7542910676.

It can be divided in two parts, 86 and 206960, that added together give a triangular number (207046 = T₆₄₃).

The spelling of 86206960 in words is "eighty-six million, two hundred six thousand, nine hundred sixty".