86842800 has 480 divisors, whose sum is σ = 365333760. Its totient is φ = 19353600.

The previous prime is 86842799. The next prime is 86842829. The reversal of 86842800 is 824868.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2019579 + ... + 2019621.

It is an arithmetic number, because the mean of its divisors is an integer number (761112).

Almost surely, 2^86842800 is an apocalyptic number.

86842800 is a gapful number since it is divisible by the number (80) 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 86842800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182666880).

86842800 is an abundant number, since it is smaller than the sum of its proper divisors (278490960).

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

86842800 is a wasteful number, since it uses less digits than its factorization.

86842800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 86842800 is about 9318.9484385310. The cubic root of 86842800 is about 442.8377197765.

The spelling of 86842800 in words is "eighty-six million, eight hundred forty-two thousand, eight hundred".