553680 has 60 divisors (see below), whose sum is σ = 1861860. Its totient is φ = 147456.

The previous prime is 553667. The next prime is 553681. The reversal of 553680 is 86355.

It can be written as a sum of positive squares in 2 ways, for example, as 207936 + 345744 = 456^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553681) by changing a digit.

553680 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 336 + ... + 1104.

It is an arithmetic number, because the mean of its divisors is an integer number (31031).

2⁵⁵³⁶⁸⁰ 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 553680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930930).

553680 is an abundant number, since it is smaller than the sum of its proper divisors (1308180).

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

553680 is a wasteful number, since it uses less digits than its factorization.

553680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 553680 is about 744.0967679005. The cubic root of 553680 is about 82.1144544885.

The spelling of 553680 in words is "five hundred fifty-three thousand, six hundred eighty".