13597920 has 288 divisors, whose sum is σ = 56609280. Its totient is φ = 2903040.

The previous prime is 13597919. The next prime is 13597921. The reversal of 13597920 is 2979531.

It is an interprime number because it is at equal distance from previous prime (13597919) and next prime (13597921).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13597921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191485 + ... + 191555.

It is an arithmetic number, because the mean of its divisors is an integer number (196560).

Almost surely, 2^13597920 is an apocalyptic number.

13597920 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 13597920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

13597920 is an abundant number, since it is smaller than the sum of its proper divisors (43011360).

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

13597920 is a wasteful number, since it uses less digits than its factorization.

13597920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 13597920 is about 3687.5357625384. The cubic root of 13597920 is about 238.6844689168.

The spelling of 13597920 in words is "thirteen million, five hundred ninety-seven thousand, nine hundred twenty".