87590448 has 120 divisors (see below), whose sum is σ = 270216336. Its totient is φ = 26484480.

The previous prime is 87590431. The next prime is 87590497. The reversal of 87590448 is 84409578.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191436 + ... + 191892.

Almost surely, 2^87590448 is an apocalyptic number.

87590448 is a gapful number since it is divisible by the number (88) 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 87590448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135108168).

87590448 is an abundant number, since it is smaller than the sum of its proper divisors (182625888).

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

87590448 is a wasteful number, since it uses less digits than its factorization.

87590448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 87590448 is about 9358.9768671581. The cubic root of 87590448 is about 444.1049179864.

The spelling of 87590448 in words is "eighty-seven million, five hundred ninety thousand, four hundred forty-eight".