13242768 has 80 divisors (see below), whose sum is σ = 42663936. Its totient is φ = 3438720.

The previous prime is 13242701. The next prime is 13242769. The reversal of 13242768 is 86724231.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13242769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1905 + ... + 5487.

Almost surely, 2^13242768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13242768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21331968).

13242768 is an abundant number, since it is smaller than the sum of its proper divisors (29421168).

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

13242768 is a wasteful number, since it uses less digits than its factorization.

13242768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3606 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 13242768 is about 3639.0614174537. The cubic root of 13242768 is about 236.5881147317.

Adding to 13242768 its reverse (86724231), we get a palindrome (99966999).

It can be divided in two parts, 132 and 42768, that multiplied together give a square (5645376 = 2376²).

The spelling of 13242768 in words is "thirteen million, two hundred forty-two thousand, seven hundred sixty-eight".