13290192 has 120 divisors (see below), whose sum is σ = 40477320. Its totient is φ = 4055040.

The previous prime is 13290181. The next prime is 13290197. The reversal of 13290192 is 29109231.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 13220496 = 264^2 + 3636^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13290197) 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 23 ways as a sum of consecutive naturals, for example, 149284 + ... + 149372.

It is an arithmetic number, because the mean of its divisors is an integer number (337311).

Almost surely, 2^13290192 is an apocalyptic number.

13290192 is a gapful number since it is divisible by the number (12) 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 13290192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20238660).

13290192 is an abundant number, since it is smaller than the sum of its proper divisors (27187128).

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

13290192 is a wasteful number, since it uses less digits than its factorization.

13290192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 13290192 is about 3645.5715601261. The cubic root of 13290192 is about 236.8701954363.

The spelling of 13290192 in words is "thirteen million, two hundred ninety thousand, one hundred ninety-two".