13457268 has 72 divisors (see below), whose sum is σ = 39312000. Its totient is φ = 3836160.

The previous prime is 13457261. The next prime is 13457273. The reversal of 13457268 is 86275431.

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 (13457261) 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, 5733 + ... + 7731.

It is an arithmetic number, because the mean of its divisors is an integer number (546000).

Almost surely, 2^13457268 is an apocalyptic number.

13457268 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 13457268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

13457268 is an abundant number, since it is smaller than the sum of its proper divisors (25854732).

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

13457268 is a wasteful number, since it uses less digits than its factorization.

13457268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2032 counting only the distinct ones).

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

The square root of 13457268 is about 3668.4149165546. The cubic root of 13457268 is about 237.8586595766.

The spelling of 13457268 in words is "thirteen million, four hundred fifty-seven thousand, two hundred sixty-eight".