87416080 has 60 divisors (see below), whose sum is σ = 207682020. Its totient is φ = 34218496.

The previous prime is 87416071. The next prime is 87416083. The reversal of 87416080 is 8061478.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 30976 + 87385104 = 176^2 + 9348^2 .

It is not an unprimeable number, because it can be changed into a prime (87416083) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 224526 + ... + 224914.

It is an arithmetic number, because the mean of its divisors is an integer number (3461367).

Almost surely, 2^87416080 is an apocalyptic number.

87416080 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 87416080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103841010).

87416080 is an abundant number, since it is smaller than the sum of its proper divisors (120265940).

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

87416080 is a wasteful number, since it uses less digits than its factorization.

87416080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 87416080 is about 9349.6566781888. The cubic root of 87416080 is about 443.8100261324.

The spelling of 87416080 in words is "eighty-seven million, four hundred sixteen thousand, eighty".