13554640 has 80 divisors (see below), whose sum is σ = 35015616. Its totient is φ = 4838400.

The previous prime is 13554637. The next prime is 13554649. The reversal of 13554640 is 4645531.

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

It is a junction number, because it is equal to n+sod(n) for n = 13554599 and 13554608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13554649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64135 + ... + 64345.

Almost surely, 2^13554640 is an apocalyptic number.

13554640 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 13554640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17507808).

13554640 is an abundant number, since it is smaller than the sum of its proper divisors (21460976).

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

13554640 is a wasteful number, since it uses less digits than its factorization.

13554640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 13554640 is about 3681.6626678717. The cubic root of 13554640 is about 238.4309683056.

It can be divided in two parts, 1355 and 4640, that added together give a palindrome (5995).

The spelling of 13554640 in words is "thirteen million, five hundred fifty-four thousand, six hundred forty".