86452080 has 240 divisors, whose sum is σ = 318625440. Its totient is φ = 19261440.

The previous prime is 86452057. The next prime is 86452097. The reversal of 86452080 is 8025468.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a zygodrome in base 11.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 377406 + ... + 377634.

It is an arithmetic number, because the mean of its divisors is an integer number (1327606).

Almost surely, 2^86452080 is an apocalyptic number.

86452080 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 86452080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159312720).

86452080 is an abundant number, since it is smaller than the sum of its proper divisors (232173360).

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

86452080 is a wasteful number, since it uses less digits than its factorization.

86452080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 86452080 is about 9297.9610668146. The cubic root of 86452080 is about 442.1725880882.

The spelling of 86452080 in words is "eighty-six million, four hundred fifty-two thousand, eighty".