13688620 has 48 divisors (see below), whose sum is σ = 32110848. Its totient is φ = 4858560.

The previous prime is 13688599. The next prime is 13688627. The reversal of 13688620 is 2688631.

13688620 = T₂₃₇ + T₂₃₈ + ... + T₄₅₆.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13688627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8737 + ... + 10183.

It is an arithmetic number, because the mean of its divisors is an integer number (668976).

Almost surely, 2^13688620 is an apocalyptic number.

13688620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13688620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16055424).

13688620 is an abundant number, since it is smaller than the sum of its proper divisors (18422228).

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

13688620 is a wasteful number, since it uses less digits than its factorization.

13688620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 13688620 is about 3699.8135088137. The cubic root of 13688620 is about 239.2139794517.

The spelling of 13688620 in words is "thirteen million, six hundred eighty-eight thousand, six hundred twenty".