13827920 has 20 divisors (see below), whose sum is σ = 32150100. Its totient is φ = 5531136.

The previous prime is 13827911. The next prime is 13827941. The reversal of 13827920 is 2972831.

It can be written as a sum of positive squares in 2 ways, for example, as 3356224 + 10471696 = 1832^2 + 3236^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×13827920² = 382422743052800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86345 + ... + 86504.

It is an arithmetic number, because the mean of its divisors is an integer number (1607505).

Almost surely, 2^13827920 is an apocalyptic number.

13827920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13827920 is an abundant number, since it is smaller than the sum of its proper divisors (18322180).

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

13827920 is a wasteful number, since it uses less digits than its factorization.

13827920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172862 (or 172856 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 13827920 is about 3718.5911310603. The cubic root of 13827920 is about 240.0226830413.

The spelling of 13827920 in words is "thirteen million, eight hundred twenty-seven thousand, nine hundred twenty".