13020576 has 48 divisors (see below), whose sum is σ = 35671104. Its totient is φ = 4150784.

The previous prime is 13020541. The next prime is 13020577. The reversal of 13020576 is 67502031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13020577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 741 + ... + 5156.

It is an arithmetic number, because the mean of its divisors is an integer number (743148).

Almost surely, 2^13020576 is an apocalyptic number.

13020576 is a gapful number since it is divisible by the number (16) 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 13020576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17835552).

13020576 is an abundant number, since it is smaller than the sum of its proper divisors (22650528).

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

13020576 is a wasteful number, since it uses less digits than its factorization.

13020576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5933 (or 5925 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 13020576 is about 3608.4035251064. The cubic root of 13020576 is about 235.2574573864.

It can be divided in two parts, 130 and 20576, that added together give a triangular number (20706 = T₂₀₃).

The spelling of 13020576 in words is "thirteen million, twenty thousand, five hundred seventy-six".