87960096 has 216 divisors, whose sum is σ = 304746624. Its totient is φ = 23950080.

The previous prime is 87960029. The next prime is 87960097. The reversal of 87960096 is 69006978.

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 (87960097) 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 35 ways as a sum of consecutive naturals, for example, 324441 + ... + 324711.

It is an arithmetic number, because the mean of its divisors is an integer number (1410864).

Almost surely, 2^87960096 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 87960096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152373312).

87960096 is an abundant number, since it is smaller than the sum of its proper divisors (216786528).

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

87960096 is a wasteful number, since it uses less digits than its factorization.

87960096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 87960096 is about 9378.7043881338. The cubic root of 87960096 is about 444.7287763571.

The spelling of 87960096 in words is "eighty-seven million, nine hundred sixty thousand, ninety-six".