13968540 has 72 divisors (see below), whose sum is σ = 43007328. Its totient is φ = 3669120.

The previous prime is 13968533. The next prime is 13968547. The reversal of 13968540 is 4586931.

It is an interprime number because it is at equal distance from previous prime (13968533) and next prime (13968547).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 13968495 and 13968504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13968547) 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, 12234 + ... + 13326.

It is an arithmetic number, because the mean of its divisors is an integer number (597324).

Almost surely, 2^13968540 is an apocalyptic number.

13968540 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 13968540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21503664).

13968540 is an abundant number, since it is smaller than the sum of its proper divisors (29038788).

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

13968540 is a wasteful number, since it uses less digits than its factorization.

13968540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13968540 is about 3737.4510030233. The cubic root of 13968540 is about 240.8335598896.

The spelling of 13968540 in words is "thirteen million, nine hundred sixty-eight thousand, five hundred forty".