13182768 has 60 divisors (see below), whose sum is σ = 37769160. Its totient is φ = 4290048.

The previous prime is 13182739. The next prime is 13182817. The reversal of 13182768 is 86728131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5128 + ... + 7256.

It is an arithmetic number, because the mean of its divisors is an integer number (629486).

Almost surely, 2^13182768 is an apocalyptic number.

13182768 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 13182768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18884580).

13182768 is an abundant number, since it is smaller than the sum of its proper divisors (24586392).

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

13182768 is a wasteful number, since it uses less digits than its factorization.

13182768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2186 (or 2177 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 13182768 is about 3630.8081744978. The cubic root of 13182768 is about 236.2302645814.

The spelling of 13182768 in words is "thirteen million, one hundred eighty-two thousand, seven hundred sixty-eight".