87447456 has 144 divisors (see below), whose sum is σ = 269070984. Its totient is φ = 26836992.

The previous prime is 87447431. The next prime is 87447457. The reversal of 87447456 is 65474478.

It can be written as a sum of positive squares in 4 ways, for example, as 82083600 + 5363856 = 9060^2 + 2316^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (87447457) 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 23 ways as a sum of consecutive naturals, for example, 259320 + ... + 259656.

Almost surely, 2^87447456 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 87447456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134535492).

87447456 is an abundant number, since it is smaller than the sum of its proper divisors (181623528).

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

87447456 is a wasteful number, since it uses less digits than its factorization.

87447456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 412 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 87447456 is about 9351.3344502269. The cubic root of 87447456 is about 443.8631182625.

The spelling of 87447456 in words is "eighty-seven million, four hundred forty-seven thousand, four hundred fifty-six".