13553840 has 80 divisors (see below), whose sum is σ = 34209120. Its totient is φ = 4976640.

The previous prime is 13553833. The next prime is 13553857. The reversal of 13553840 is 4835531.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 56120 + ... + 56360.

It is an arithmetic number, because the mean of its divisors is an integer number (427614).

Almost surely, 2^13553840 is an apocalyptic number.

13553840 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 13553840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17104560).

13553840 is an abundant number, since it is smaller than the sum of its proper divisors (20655280).

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

13553840 is a wasteful number, since it uses less digits than its factorization.

13553840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 13553840 is about 3681.5540197042. The cubic root of 13553840 is about 238.4262774512.

The spelling of 13553840 in words is "thirteen million, five hundred fifty-three thousand, eight hundred forty".