87441408 has 90 divisors (see below), whose sum is σ = 253026774. Its totient is φ = 29097984.

The previous prime is 87441407. The next prime is 87441427. The reversal of 87441408 is 80414478.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 78004224 + 9437184 = 8832^2 + 3072^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87441407) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 147160 + ... + 147752.

Almost surely, 2^87441408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87441408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126513387).

87441408 is an abundant number, since it is smaller than the sum of its proper divisors (165585366).

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

87441408 is an equidigital number, since it uses as much as digits as its factorization.

87441408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 87441408 is about 9351.0110683284. The cubic root of 87441408 is about 443.8528852756.

The spelling of 87441408 in words is "eighty-seven million, four hundred forty-one thousand, four hundred eight".