86016906 has 48 divisors (see below), whose sum is σ = 198107208. Its totient is φ = 26880000.

The previous prime is 86016901. The next prime is 86016907. The reversal of 86016906 is 60961068.

It can be written as a sum of positive squares in 4 ways, for example, as 78481881 + 7535025 = 8859^2 + 2745^2 .

It is not an unprimeable number, because it can be changed into a prime (86016901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122356 + ... + 123056.

Almost surely, 2^86016906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86016906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99053604).

86016906 is an abundant number, since it is smaller than the sum of its proper divisors (112090302).

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

86016906 is a wasteful number, since it uses less digits than its factorization.

86016906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 86016906 is about 9274.5299611355. The cubic root of 86016906 is about 441.4294180576.

It can be divided in two parts, 860 and 16906, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 86016906 in words is "eighty-six million, sixteen thousand, nine hundred six".