87819648 has 128 divisors (see below), whose sum is σ = 274110720. Its totient is φ = 24385536.

The previous prime is 87819643. The next prime is 87819661. The reversal of 87819648 is 84691878.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 87819648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87819643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99015 + ... + 99897.

It is an arithmetic number, because the mean of its divisors is an integer number (2141490).

Almost surely, 2^87819648 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 87819648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137055360).

87819648 is an abundant number, since it is smaller than the sum of its proper divisors (186291072).

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

87819648 is a wasteful number, since it uses less digits than its factorization.

87819648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 932 counting only the distinct ones).

The product of its digits is 774144, while the sum is 51.

The square root of 87819648 is about 9371.2137954483. The cubic root of 87819648 is about 444.4919472190.

The spelling of 87819648 in words is "eighty-seven million, eight hundred nineteen thousand, six hundred forty-eight".