883241120 has 96 divisors (see below), whose sum is σ = 2223356688. Its totient is φ = 330416128.

The previous prime is 883241111. The next prime is 883241153. The reversal of 883241120 is 21142388.

It can be written as a sum of positive squares in 8 ways, for example, as 746163856 + 137077264 = 27316^2 + 11708^2 .

It is a super-2 number, since 2×883241120² = 1560229752117708800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 469622 + ... + 471498.

Almost surely, 2^883241120 is an apocalyptic number.

883241120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 883241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111678344).

883241120 is an abundant number, since it is smaller than the sum of its proper divisors (1340115568).

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

883241120 is a wasteful number, since it uses less digits than its factorization.

883241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2074 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 883241120 is about 29719.3728063026. The cubic root of 883241120 is about 959.4590123247.

The spelling of 883241120 in words is "eight hundred eighty-three million, two hundred forty-one thousand, one hundred twenty".