86400834 has 64 divisors (see below), whose sum is σ = 205680384. Its totient is φ = 23924736.

The previous prime is 86400793. The next prime is 86400929. The reversal of 86400834 is 43800468.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 86400795 and 86400804.

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 31 ways as a sum of consecutive naturals, for example, 29082 + ... + 31914.

It is an arithmetic number, because the mean of its divisors is an integer number (3213756).

Almost surely, 2^86400834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86400834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102840192).

86400834 is an abundant number, since it is smaller than the sum of its proper divisors (119279550).

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

86400834 is a wasteful number, since it uses less digits than its factorization.

86400834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891.

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 86400834 is about 9295.2048928466. The cubic root of 86400834 is about 442.0852022778.

The spelling of 86400834 in words is "eighty-six million, four hundred thousand, eight hundred thirty-four".