13607820 has 72 divisors (see below), whose sum is σ = 43714944. Its totient is φ = 3414528.

The previous prime is 13607807. The next prime is 13607827. The reversal of 13607820 is 2870631.

It is not an unprimeable number, because it can be changed into a prime (13607827) 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 23 ways as a sum of consecutive naturals, for example, 837 + ... + 5283.

It is an arithmetic number, because the mean of its divisors is an integer number (607152).

Almost surely, 2^13607820 is an apocalyptic number.

13607820 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 13607820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21857472).

13607820 is an abundant number, since it is smaller than the sum of its proper divisors (30107124).

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

13607820 is a wasteful number, since it uses less digits than its factorization.

13607820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4474 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13607820 is about 3688.8778781630. The cubic root of 13607820 is about 238.7423798085.

It can be divided in two parts, 1360 and 7820, that added together give a triangular number (9180 = T₁₃₅).

The spelling of 13607820 in words is "thirteen million, six hundred seven thousand, eight hundred twenty".