86842600 has 96 divisors (see below), whose sum is σ = 219985920. Its totient is φ = 31691520.

The previous prime is 86842571. The next prime is 86842601. The reversal of 86842600 is 624868.

It is not an unprimeable number, because it can be changed into a prime (86842601) 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 23 ways as a sum of consecutive naturals, for example, 330069 + ... + 330331.

It is an arithmetic number, because the mean of its divisors is an integer number (2291520).

Almost surely, 2^86842600 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 86842600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109992960).

86842600 is an abundant number, since it is smaller than the sum of its proper divisors (133143320).

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

86842600 is a wasteful number, since it uses less digits than its factorization.

86842600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 86842600 is about 9318.9377077004. The cubic root of 86842600 is about 442.8373798227.

The spelling of 86842600 in words is "eighty-six million, eight hundred forty-two thousand, six hundred".