553666880 has 112 divisors (see below), whose sum is σ = 1503547920. Its totient is φ = 192380928.

The previous prime is 553666849. The next prime is 553666889. The reversal of 553666880 is 88666355.

It can be written as a sum of positive squares in 8 ways, for example, as 56911936 + 496754944 = 7544^2 + 22288^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553666889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66806 + ... + 74634.

It is an arithmetic number, because the mean of its divisors is an integer number (13424535).

Almost surely, 2^553666880 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 553666880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751773960).

553666880 is an abundant number, since it is smaller than the sum of its proper divisors (949881040).

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

553666880 is a wasteful number, since it uses less digits than its factorization.

553666880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7876 (or 7866 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The square root of 553666880 is about 23530.1270714801. The cubic root of 553666880 is about 821.1380588876.

The spelling of 553666880 in words is "five hundred fifty-three million, six hundred sixty-six thousand, eight hundred eighty".