86398080 has 128 divisors (see below), whose sum is σ = 291703680. Its totient is φ = 21676032.

The previous prime is 86398061. The next prime is 86398121. The reversal of 86398080 is 8089368.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31317 + ... + 33963.

It is an arithmetic number, because the mean of its divisors is an integer number (2278935).

Almost surely, 2^86398080 is an apocalyptic number.

86398080 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 86398080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145851840).

86398080 is an abundant number, since it is smaller than the sum of its proper divisors (205305600).

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

86398080 is a wasteful number, since it uses less digits than its factorization.

86398080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 86398080 is about 9295.0567507681. The cubic root of 86398080 is about 442.0805051179.

The spelling of 86398080 in words is "eighty-six million, three hundred ninety-eight thousand, eighty".