882112896 has 192 divisors, whose sum is σ = 3029094000. Its totient is φ = 251983872.

The previous prime is 882112883. The next prime is 882112919. The reversal of 882112896 is 698211288.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×882112896² = 1556246322579013632, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166740 + ... + 171948.

Almost surely, 2^882112896 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 882112896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514547000).

882112896 is an abundant number, since it is smaller than the sum of its proper divisors (2146981104).

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

882112896 is a wasteful number, since it uses less digits than its factorization.

882112896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5246 (or 5221 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 882112896 is about 29700.3854520442. The cubic root of 882112896 is about 959.0503108207.

The spelling of 882112896 in words is "eight hundred eighty-two million, one hundred twelve thousand, eight hundred ninety-six".