13394320 has 20 divisors (see below), whose sum is σ = 31141980. Its totient is φ = 5357696.

The previous prime is 13394299. The next prime is 13394321. The reversal of 13394320 is 2349331.

13394320 = 325² + 326² + ... + 420².

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7862416 + 5531904 = 2804^2 + 2352^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (13394321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83635 + ... + 83794.

It is an arithmetic number, because the mean of its divisors is an integer number (1557099).

Almost surely, 2^13394320 is an apocalyptic number.

13394320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13394320 is an abundant number, since it is smaller than the sum of its proper divisors (17747660).

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

13394320 is a wasteful number, since it uses less digits than its factorization.

13394320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167442 (or 167436 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 13394320 is about 3659.8251324346. The cubic root of 13394320 is about 237.4872089141.

The spelling of 13394320 in words is "thirteen million, three hundred ninety-four thousand, three hundred twenty".