13678480 has 40 divisors (see below), whose sum is σ = 33480000. Its totient is φ = 5182848.

The previous prime is 13678453. The next prime is 13678481. The reversal of 13678480 is 8487631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×13678480² = 374201630220800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13678481) 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, 2980 + ... + 6019.

It is an arithmetic number, because the mean of its divisors is an integer number (837000).

Almost surely, 2^13678480 is an apocalyptic number.

13678480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13678480 is an abundant number, since it is smaller than the sum of its proper divisors (19801520).

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

13678480 is a wasteful number, since it uses less digits than its factorization.

13678480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9031 (or 9025 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 13678480 is about 3698.4429156065. The cubic root of 13678480 is about 239.1548980411.

The spelling of 13678480 in words is "thirteen million, six hundred seventy-eight thousand, four hundred eighty".