86340800 has 168 divisors, whose sum is σ = 261920736. Its totient is φ = 27279360.

The previous prime is 86340799. The next prime is 86340811. The reversal of 86340800 is 804368.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 145304 + ... + 145896.

It is an arithmetic number, because the mean of its divisors is an integer number (1559052).

Almost surely, 2^86340800 is an apocalyptic number.

86340800 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 86340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130960368).

86340800 is an abundant number, since it is smaller than the sum of its proper divisors (175579936).

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

86340800 is a wasteful number, since it uses less digits than its factorization.

86340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 86340800 is about 9291.9750322523. The cubic root of 86340800 is about 441.9827870149.

The spelling of 86340800 in words is "eighty-six million, three hundred forty thousand, eight hundred".