882120096 has 144 divisors (see below), whose sum is σ = 2947220640. Its totient is φ = 246735360.

The previous prime is 882120067. The next prime is 882120139. The reversal of 882120096 is 690021288.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 882120096.

It is an unprimeable number.

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, 30475 + ... + 51893.

It is an arithmetic number, because the mean of its divisors is an integer number (20466810).

Almost surely, 2^882120096 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 882120096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473610320).

882120096 is an abundant number, since it is smaller than the sum of its proper divisors (2065100544).

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

882120096 is a wasteful number, since it uses less digits than its factorization.

882120096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21459 (or 21448 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 882120096 is about 29700.5066623450. The cubic root of 882120096 is about 959.0529201403.

The spelling of 882120096 in words is "eight hundred eighty-two million, one hundred twenty thousand, ninety-six".