13553280 has 192 divisors, whose sum is σ = 50679720. Its totient is φ = 3317760.

The previous prime is 13553269. The next prime is 13553311. The reversal of 13553280 is 8235531.

It can be written as a sum of positive squares in 4 ways, for example, as 3968064 + 9585216 = 1992^2 + 3096^2 .

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74790 + ... + 74970.

Almost surely, 2^13553280 is an apocalyptic number.

13553280 is a gapful number since it is divisible by the number (10) 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 13553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25339860).

13553280 is an abundant number, since it is smaller than the sum of its proper divisors (37126440).

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

13553280 is a wasteful number, since it uses less digits than its factorization.

13553280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 204 counting only the distinct ones).

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

The square root of 13553280 is about 3681.4779640791. The cubic root of 13553280 is about 238.4229937433.

The spelling of 13553280 in words is "thirteen million, five hundred fifty-three thousand, two hundred eighty".