883821312 has 216 divisors, whose sum is σ = 2848093248. Its totient is φ = 261273600.

The previous prime is 883821311. The next prime is 883821343. The reversal of 883821312 is 213128388.

It is a super-2 number, since 2×883821312² = 1562280223090802688, which contains 22 as substring.

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

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

It is not an unprimeable number, because it can be changed into a prime (883821311) 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 23 ways as a sum of consecutive naturals, for example, 1089387 + ... + 1090197.

Almost surely, 2^883821312 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 883821312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424046624).

883821312 is an abundant number, since it is smaller than the sum of its proper divisors (1964271936).

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

883821312 is a wasteful number, since it uses less digits than its factorization.

883821312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887 (or 870 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 883821312 is about 29729.1323788637. The cubic root of 883821312 is about 959.6690525900.

The spelling of 883821312 in words is "eight hundred eighty-three million, eight hundred twenty-one thousand, three hundred twelve".