86804480 has 144 divisors (see below), whose sum is σ = 243685260. Its totient is φ = 29589504.

The previous prime is 86804477. The next prime is 86804491. The reversal of 86804480 is 8440868.

It can be written as a sum of positive squares in 2 ways, for example, as 84345856 + 2458624 = 9184^2 + 1568^2 .

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 11 ways as a sum of consecutive naturals, for example, 501674 + ... + 501846.

Almost surely, 2^86804480 is an apocalyptic number.

86804480 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 86804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121842630).

86804480 is an abundant number, since it is smaller than the sum of its proper divisors (156880780).

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

86804480 is a wasteful number, since it uses less digits than its factorization.

86804480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 38.

The square root of 86804480 is about 9316.8921857023. The cubic root of 86804480 is about 442.7725751012.

The spelling of 86804480 in words is "eighty-six million, eight hundred four thousand, four hundred eighty".