13354980 has 48 divisors (see below), whose sum is σ = 37774464. Its totient is φ = 3525120.

The previous prime is 13354969. The next prime is 13354987. The reversal of 13354980 is 8945331.

It is not an unprimeable number, because it can be changed into a prime (13354987) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5100 + ... + 7260.

It is an arithmetic number, because the mean of its divisors is an integer number (786968).

Almost surely, 2^13354980 is an apocalyptic number.

13354980 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 13354980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18887232).

13354980 is an abundant number, since it is smaller than the sum of its proper divisors (24419484).

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

13354980 is a wasteful number, since it uses less digits than its factorization.

13354980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 13354980 is about 3654.4466065329. The cubic root of 13354980 is about 237.2544757230.

The spelling of 13354980 in words is "thirteen million, three hundred fifty-four thousand, nine hundred eighty".