87008448 has 224 divisors, whose sum is σ = 272125440. Its totient is φ = 24330240.

The previous prime is 87008443. The next prime is 87008459. The reversal of 87008448 is 84480078.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87008443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1426338 + ... + 1426398.

Almost surely, 2^87008448 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 87008448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136062720).

87008448 is an abundant number, since it is smaller than the sum of its proper divisors (185116992).

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

87008448 is a wasteful number, since it uses less digits than its factorization.

87008448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 39.

The square root of 87008448 is about 9327.8319024305. The cubic root of 87008448 is about 443.1191040386.

The spelling of 87008448 in words is "eighty-seven million, eight thousand, four hundred forty-eight".