880686144 has 168 divisors, whose sum is σ = 2734386200. Its totient is φ = 269402112.

The previous prime is 880686127. The next prime is 880686167. The reversal of 880686144 is 441686088.

It can be written as a sum of positive squares in 4 ways, for example, as 34574400 + 846111744 = 5880^2 + 29088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 880686144.

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, 2523282 + ... + 2523630.

Almost surely, 2^880686144 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 880686144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367193100).

880686144 is an abundant number, since it is smaller than the sum of its proper divisors (1853700056).

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

880686144 is a wasteful number, since it uses less digits than its factorization.

880686144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 880686144 is about 29676.3566496967. The cubic root of 880686144 is about 958.5329676170.

The spelling of 880686144 in words is "eight hundred eighty million, six hundred eighty-six thousand, one hundred forty-four".