881284352 has 144 divisors (see below), whose sum is σ = 2064987792. Its totient is φ = 371589120.

The previous prime is 881284351. The next prime is 881284373. The reversal of 881284352 is 253482188.

It can be written as a sum of positive squares in 8 ways, for example, as 27709696 + 853574656 = 5264^2 + 29216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (881284351) 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 15 ways as a sum of consecutive naturals, for example, 2093102 + ... + 2093522.

It is an arithmetic number, because the mean of its divisors is an integer number (14340193).

Almost surely, 2^881284352 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 881284352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032493896).

881284352 is an abundant number, since it is smaller than the sum of its proper divisors (1183703440).

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

881284352 is a wasteful number, since it uses less digits than its factorization.

881284352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 490 counting only the distinct ones).

The product of its digits is 122880, while the sum is 41.

The square root of 881284352 is about 29686.4338040122. The cubic root of 881284352 is about 958.7499470385.

It can be divided in two parts, 88128 and 4352, that multiplied together give a square (383533056 = 19584²).

The spelling of 881284352 in words is "eight hundred eighty-one million, two hundred eighty-four thousand, three hundred fifty-two".