13076820 has 36 divisors (see below), whose sum is σ = 39666900. Its totient is φ = 3487104.

The previous prime is 13076797. The next prime is 13076831. The reversal of 13076820 is 2867031.

It can be written as a sum of positive squares in 2 ways, for example, as 4112784 + 8964036 = 2028^2 + 2994^2 .

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

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 36145 + ... + 36504.

Almost surely, 2^13076820 is an apocalyptic number.

13076820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13076820 is an abundant number, since it is smaller than the sum of its proper divisors (26590080).

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

13076820 is a wasteful number, since it uses less digits than its factorization.

13076820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72664 (or 72659 counting only the distinct ones).

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

The square root of 13076820 is about 3616.1886012762. The cubic root of 13076820 is about 235.5957121062.

The spelling of 13076820 in words is "thirteen million, seventy-six thousand, eight hundred twenty".