13837680 has 60 divisors (see below), whose sum is σ = 46473960. Its totient is φ = 3689856.

The previous prime is 13837673. The next prime is 13837699. The reversal of 13837680 is 8673831.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a congruent number.

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, 8890 + ... + 10329.

It is an arithmetic number, because the mean of its divisors is an integer number (774566).

Almost surely, 2^13837680 is an apocalyptic number.

13837680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13837680 is an abundant number, since it is smaller than the sum of its proper divisors (32636280).

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

13837680 is a wasteful number, since it uses less digits than its factorization.

13837680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19238 (or 19229 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13837680 is about 3719.9032245476. The cubic root of 13837680 is about 240.0791405670.

It can be divided in two parts, 1 and 3837680, that added together give a square (3837681 = 1959²).

The spelling of 13837680 in words is "thirteen million, eight hundred thirty-seven thousand, six hundred eighty".