13192820 has 24 divisors (see below), whose sum is σ = 27773928. Its totient is φ = 5264000.

The previous prime is 13192801. The next prime is 13192841. The reversal of 13192820 is 2829131.

13192820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 4024036 + 9168784 = 2006^2 + 3028^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13192820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13550 + ... + 14490.

It is an arithmetic number, because the mean of its divisors is an integer number (1157247).

Almost surely, 2^13192820 is an apocalyptic number.

13192820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13192820 is an abundant number, since it is smaller than the sum of its proper divisors (14581108).

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

13192820 is a wasteful number, since it uses less digits than its factorization.

13192820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 13192820 is about 3632.1921755326. The cubic root of 13192820 is about 236.2902920184.

The spelling of 13192820 in words is "thirteen million, one hundred ninety-two thousand, eight hundred twenty".