13962320 has 80 divisors (see below), whose sum is σ = 34350480. Its totient is φ = 5271552.

The previous prime is 13962317. The next prime is 13962383. The reversal of 13962320 is 2326931.

It can be written as a sum of positive squares in 8 ways, for example, as 153664 + 13808656 = 392^2 + 3716^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 13962320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 156836 + ... + 156924.

It is an arithmetic number, because the mean of its divisors is an integer number (429381).

Almost surely, 2^13962320 is an apocalyptic number.

13962320 is a gapful number since it is divisible by the number (10) 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 13962320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17175240).

13962320 is an abundant number, since it is smaller than the sum of its proper divisors (20388160).

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

13962320 is a wasteful number, since it uses less digits than its factorization.

13962320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The square root of 13962320 is about 3736.6187924379. The cubic root of 13962320 is about 240.7978079513.

The spelling of 13962320 in words is "thirteen million, nine hundred sixty-two thousand, three hundred twenty".