86836680 has 192 divisors, whose sum is σ = 341677440. Its totient is φ = 18671616.

The previous prime is 86836679. The next prime is 86836681. The reversal of 86836680 is 8663868.

It is an interprime number because it is at equal distance from previous prime (86836679) and next prime (86836681).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (86836681) 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 47 ways as a sum of consecutive naturals, for example, 41827 + ... + 43853.

It is an arithmetic number, because the mean of its divisors is an integer number (1779570).

Almost surely, 2^86836680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86836680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170838720).

86836680 is an abundant number, since it is smaller than the sum of its proper divisors (254840760).

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

86836680 is a wasteful number, since it uses less digits than its factorization.

86836680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 86836680 is about 9318.6200695167. The cubic root of 86836680 is about 442.8273169547.

The spelling of 86836680 in words is "eighty-six million, eight hundred thirty-six thousand, six hundred eighty".