87634280448 has 408 divisors, whose sum is σ = 297709426560. Its totient is φ = 24489492480.

The previous prime is 87634280429. The next prime is 87634280449. The reversal of 87634280448 is 84408243678.

It is a happy number.

87634280448 is a `hidden beast` number, since 87 + 6 + 3 + 42 + 80 + 448 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 87634280394 and 87634280403.

It is not an unprimeable number, because it can be changed into a prime (87634280449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84344313 + ... + 84345351.

Almost surely, 2^87634280448 is an apocalyptic number.

87634280448 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 87634280448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148854713280).

87634280448 is an abundant number, since it is smaller than the sum of its proper divisors (210075146112).

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

87634280448 is a wasteful number, since it uses less digits than its factorization.

87634280448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 87634280448 in words is "eighty-seven billion, six hundred thirty-four million, two hundred eighty thousand, four hundred forty-eight".