13754268 has 72 divisors (see below), whose sum is σ = 38787840. Its totient is φ = 4073760.

The previous prime is 13754263. The next prime is 13754291. The reversal of 13754268 is 86245731.

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 (13754263) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18243 + ... + 18981.

It is an arithmetic number, because the mean of its divisors is an integer number (538720).

Almost surely, 2^13754268 is an apocalyptic number.

13754268 is a gapful number since it is divisible by the number (18) 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 13754268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19393920).

13754268 is an abundant number, since it is smaller than the sum of its proper divisors (25033572).

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

13754268 is a wasteful number, since it uses less digits than its factorization.

13754268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 802 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 13754268 is about 3708.6746958988. The cubic root of 13754268 is about 239.5957779010.

Adding to 13754268 its reverse (86245731), we get a palindrome (99999999).

The spelling of 13754268 in words is "thirteen million, seven hundred fifty-four thousand, two hundred sixty-eight".