13946980 has 24 divisors (see below), whose sum is σ = 29365560. Its totient is φ = 5564160.

The previous prime is 13946963. The next prime is 13946981. The reversal of 13946980 is 8964931.

It can be written as a sum of positive squares in 4 ways, for example, as 2509056 + 11437924 = 1584^2 + 3382^2 .

It is a super-2 number, since 2×13946980² = 389036502240800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13946981) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10176 + ... + 11464.

It is an arithmetic number, because the mean of its divisors is an integer number (1223565).

Almost surely, 2^13946980 is an apocalyptic number.

13946980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13946980 is an abundant number, since it is smaller than the sum of its proper divisors (15418580).

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

13946980 is a wasteful number, since it uses less digits than its factorization.

13946980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 40.

The square root of 13946980 is about 3734.5655704513. The cubic root of 13946980 is about 240.7095897571.

The spelling of 13946980 in words is "thirteen million, nine hundred forty-six thousand, nine hundred eighty".