13002768 has 100 divisors (see below), whose sum is σ = 38410240. Its totient is φ = 4245696.

The previous prime is 13002767. The next prime is 13002779. The reversal of 13002768 is 86720031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13002767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102321 + ... + 102447.

Almost surely, 2^13002768 is an apocalyptic number.

13002768 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 13002768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19205120).

13002768 is an abundant number, since it is smaller than the sum of its proper divisors (25407472).

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

13002768 is a wasteful number, since it uses less digits than its factorization.

13002768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 13002768 is about 3605.9351075692. The cubic root of 13002768 is about 235.1501560350.

Adding to 13002768 its reverse (86720031), we get a palindrome (99722799).

The spelling of 13002768 in words is "thirteen million, two thousand, seven hundred sixty-eight".