86450080 has 48 divisors (see below), whose sum is σ = 206153640. Its totient is φ = 34255872.

The previous prime is 86450071. The next prime is 86450113. The reversal of 86450080 is 8005468.

It can be written as a sum of positive squares in 4 ways, for example, as 83978896 + 2471184 = 9164^2 + 1572^2 .

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 7 ways as a sum of consecutive naturals, for example, 14962 + ... + 19918.

Almost surely, 2^86450080 is an apocalyptic number.

86450080 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 86450080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103076820).

86450080 is an abundant number, since it is smaller than the sum of its proper divisors (119703560).

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

86450080 is a wasteful number, since it uses less digits than its factorization.

86450080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5081 (or 5073 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 86450080 is about 9297.8535157315. The cubic root of 86450080 is about 442.1691782917.

The spelling of 86450080 in words is "eighty-six million, four hundred fifty thousand, eighty".