87000965920 has 96 divisors (see below), whose sum is σ = 225464855616. Its totient is φ = 31461811200.

The previous prime is 87000965917. The next prime is 87000965921. The reversal of 87000965920 is 2956900078.

It is not an unprimeable number, because it can be changed into a prime (87000965921) 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 15 ways as a sum of consecutive naturals, for example, 182007 + ... + 455113.

It is an arithmetic number, because the mean of its divisors is an integer number (2348592246).

Almost surely, 2^87000965920 is an apocalyptic number.

87000965920 is a gapful number since it is divisible by the number (80) 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 87000965920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112732427808).

87000965920 is an abundant number, since it is smaller than the sum of its proper divisors (138463889696).

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

87000965920 is a wasteful number, since it uses less digits than its factorization.

87000965920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273314 (or 273306 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 87000965920 in words is "eighty-seven billion, nine hundred sixty-five thousand, nine hundred twenty".