13066820 has 48 divisors (see below), whose sum is σ = 30587760. Its totient is φ = 4655616.

The previous prime is 13066819. The next prime is 13066831. The reversal of 13066820 is 2866031.

It can be written as a sum of positive squares in 8 ways, for example, as 1012036 + 12054784 = 1006^2 + 3472^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 13066820.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6674 + ... + 8406.

It is an arithmetic number, because the mean of its divisors is an integer number (637245).

Almost surely, 2^13066820 is an apocalyptic number.

13066820 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 13066820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15293880).

13066820 is an abundant number, since it is smaller than the sum of its proper divisors (17520940).

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

13066820 is a wasteful number, since it uses less digits than its factorization.

13066820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 13066820 is about 3614.8056655926. The cubic root of 13066820 is about 235.5356425093.

The spelling of 13066820 in words is "thirteen million, sixty-six thousand, eight hundred twenty".