882345312 has 240 divisors, whose sum is σ = 2732083200. Its totient is φ = 279002880.

The previous prime is 882345293. The next prime is 882345341. The reversal of 882345312 is 213543288.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 6347739 + ... + 6347877.

It is an arithmetic number, because the mean of its divisors is an integer number (11383680).

Almost surely, 2^882345312 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 882345312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366041600).

882345312 is an abundant number, since it is smaller than the sum of its proper divisors (1849737888).

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

882345312 is a wasteful number, since it uses less digits than its factorization.

882345312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 254 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 882345312 is about 29704.2978708469. The cubic root of 882345312 is about 959.1345324907.

The spelling of 882345312 in words is "eight hundred eighty-two million, three hundred forty-five thousand, three hundred twelve".