881613440 has 64 divisors (see below), whose sum is σ = 2115641160. Its totient is φ = 351301632.

The previous prime is 881613431. The next prime is 881613449. The reversal of 881613440 is 44316188.

It is an interprime number because it is at equal distance from previous prime (881613431) and next prime (881613449).

It can be written as a sum of positive squares in 4 ways, for example, as 627402304 + 254211136 = 25048^2 + 15944^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 881613440.

It is not an unprimeable number, because it can be changed into a prime (881613449) 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 7 ways as a sum of consecutive naturals, for example, 174794 + ... + 179766.

Almost surely, 2^881613440 is an apocalyptic number.

881613440 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 881613440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057820580).

881613440 is an abundant number, since it is smaller than the sum of its proper divisors (1234027720).

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

881613440 is a wasteful number, since it uses less digits than its factorization.

881613440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 881613440 is about 29691.9760204672. The cubic root of 881613440 is about 958.8692705528.

The spelling of 881613440 in words is "eight hundred eighty-one million, six hundred thirteen thousand, four hundred forty".