86394880 has 192 divisors, whose sum is σ = 247665600. Its totient is φ = 28508160.

The previous prime is 86394851. The next prime is 86394899. The reversal of 86394880 is 8849368.

It is a self number, because there is not a number n which added to its sum of digits gives 86394880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464291 + ... + 1464349.

It is an arithmetic number, because the mean of its divisors is an integer number (1289925).

Almost surely, 2^86394880 is an apocalyptic number.

86394880 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 86394880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

86394880 is an abundant number, since it is smaller than the sum of its proper divisors (161270720).

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

86394880 is a wasteful number, since it uses less digits than its factorization.

86394880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 86394880 is about 9294.8846146684. The cubic root of 86394880 is about 442.0750471452.

The spelling of 86394880 in words is "eighty-six million, three hundred ninety-four thousand, eight hundred eighty".