13084020 has 36 divisors (see below), whose sum is σ = 39688740. Its totient is φ = 3489024.

The previous prime is 13084013. The next prime is 13084021. The reversal of 13084020 is 2048031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2702736 + 10381284 = 1644^2 + 3222^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13083984 and 13084002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13084021) 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 11 ways as a sum of consecutive naturals, for example, 36165 + ... + 36524.

It is an arithmetic number, because the mean of its divisors is an integer number (1102465).

Almost surely, 2^13084020 is an apocalyptic number.

13084020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13084020 is an abundant number, since it is smaller than the sum of its proper divisors (26604720).

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

13084020 is a wasteful number, since it uses less digits than its factorization.

13084020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72704 (or 72699 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 13084020 is about 3617.1839875793. The cubic root of 13084020 is about 235.6389432562.

The spelling of 13084020 in words is "thirteen million, eighty-four thousand, twenty".