13975760 has 40 divisors (see below), whose sum is σ = 32846856. Its totient is φ = 5529600.

The previous prime is 13975757. The next prime is 13975769. The reversal of 13975760 is 6757931.

It can be written as a sum of positive squares in 4 ways, for example, as 107584 + 13868176 = 328^2 + 3724^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13975769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6860 + ... + 8660.

Almost surely, 2^13975760 is an apocalyptic number.

13975760 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 13975760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16423428).

13975760 is an abundant number, since it is smaller than the sum of its proper divisors (18871096).

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

13975760 is a wasteful number, since it uses less digits than its factorization.

13975760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 38.

The square root of 13975760 is about 3738.4167771933. The cubic root of 13975760 is about 240.8750464206.

The spelling of 13975760 in words is "thirteen million, nine hundred seventy-five thousand, seven hundred sixty".