881580672 has 192 divisors, whose sum is σ = 3007368000. Its totient is φ = 251817984.

The previous prime is 881580643. The next prime is 881580683. The reversal of 881580672 is 276085188.

881580672 is a `hidden beast` number, since 8 + 8 + 1 + 580 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 215704 + ... + 219752.

It is an arithmetic number, because the mean of its divisors is an integer number (15663375).

Almost surely, 2^881580672 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 881580672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503684000).

881580672 is an abundant number, since it is smaller than the sum of its proper divisors (2125787328).

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

881580672 is an equidigital number, since it uses as much as digits as its factorization.

881580672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 881580672 is about 29691.4242164299. The cubic root of 881580672 is about 958.8573905851.

The spelling of 881580672 in words is "eight hundred eighty-one million, five hundred eighty thousand, six hundred seventy-two".