13678020 has 36 divisors (see below), whose sum is σ = 41490540. Its totient is φ = 3647424.

The previous prime is 13678003. The next prime is 13678057. The reversal of 13678020 is 2087631.

It can be written as a sum of positive squares in 2 ways, for example, as 2509056 + 11168964 = 1584^2 + 3342^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×13678020² = 374176462240800, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 37815 + ... + 38174.

It is an arithmetic number, because the mean of its divisors is an integer number (1152515).

Almost surely, 2^13678020 is an apocalyptic number.

13678020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13678020 is an abundant number, since it is smaller than the sum of its proper divisors (27812520).

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

13678020 is a wasteful number, since it uses less digits than its factorization.

13678020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76004 (or 75999 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13678020 is about 3698.3807267506. The cubic root of 13678020 is about 239.1522171271.

The spelling of 13678020 in words is "thirteen million, six hundred seventy-eight thousand, twenty".