13814980 has 24 divisors (see below), whose sum is σ = 29561112. Its totient is φ = 5421312.

The previous prime is 13814963. The next prime is 13814989. The reversal of 13814980 is 8941831.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3161284 + 10653696 = 1778^2 + 3264^2 .

It is not an unprimeable number, because it can be changed into a prime (13814989) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 5457 + ... + 7576.

It is an arithmetic number, because the mean of its divisors is an integer number (1231713).

Almost surely, 2^13814980 is an apocalyptic number.

13814980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13814980 is an abundant number, since it is smaller than the sum of its proper divisors (15746132).

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

13814980 is a wasteful number, since it uses less digits than its factorization.

13814980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13095 (or 13093 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 13814980 is about 3716.8508175605. The cubic root of 13814980 is about 239.9477895687.

The spelling of 13814980 in words is "thirteen million, eight hundred fourteen thousand, nine hundred eighty".