13555680 has 96 divisors (see below), whose sum is σ = 44126208. Its totient is φ = 3494400.

The previous prime is 13555669. The next prime is 13555699. The reversal of 13555680 is 8655531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14425 + ... + 15335.

It is an arithmetic number, because the mean of its divisors is an integer number (459648).

Almost surely, 2^13555680 is an apocalyptic number.

13555680 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 13555680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22063104).

13555680 is an abundant number, since it is smaller than the sum of its proper divisors (30570528).

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

13555680 is a wasteful number, since it uses less digits than its factorization.

13555680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The square root of 13555680 is about 3681.8039056962. The cubic root of 13555680 is about 238.4370661404.

The spelling of 13555680 in words is "thirteen million, five hundred fifty-five thousand, six hundred eighty".