13678920 has 48 divisors (see below), whose sum is σ = 44457660. Its totient is φ = 3647616.

The previous prime is 13678909. The next prime is 13678933. The reversal of 13678920 is 2987631.

It can be written as a sum of positive squares in 2 ways, for example, as 13003236 + 675684 = 3606^2 + 822^2 .

It is a super-2 number, since 2×13678920² = 374225704732800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18639 + ... + 19358.

Almost surely, 2^13678920 is an apocalyptic number.

13678920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13678920 is an abundant number, since it is smaller than the sum of its proper divisors (30778740).

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

13678920 is a wasteful number, since it uses less digits than its factorization.

13678920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38014 (or 38007 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 13678920 is about 3698.5023996207. The cubic root of 13678920 is about 239.1574623374.

The spelling of 13678920 in words is "thirteen million, six hundred seventy-eight thousand, nine hundred twenty".