13285020 has 96 divisors (see below), whose sum is σ = 43481088. Its totient is φ = 2967552.

The previous prime is 13284983. The next prime is 13285021. The reversal of 13285020 is 2058231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13285021) 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 31 ways as a sum of consecutive naturals, for example, 19404 + ... + 20076.

It is an arithmetic number, because the mean of its divisors is an integer number (452928).

Almost surely, 2^13285020 is an apocalyptic number.

13285020 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 13285020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21740544).

13285020 is an abundant number, since it is smaller than the sum of its proper divisors (30196068).

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

13285020 is a wasteful number, since it uses less digits than its factorization.

13285020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 13285020 is about 3644.8621373105. The cubic root of 13285020 is about 236.8394647139.

It can be divided in two parts, 132850 and 20, that added together give a triangular number (132870 = T₅₁₅).

The spelling of 13285020 in words is "thirteen million, two hundred eighty-five thousand, twenty".